From 486ad68f60b2ba3edac7f6948c8fc805ccac99cc Mon Sep 17 00:00:00 2001
From: Tim Daly
Date: Tue, 21 Jun 2016 15:56:34 -0400
Subject: [PATCH] books/bookvolbib Scha61,Scha66,Scha10,Brem08 category
NonAssociativeRng
Goal: Axiom Literate Programming
Collect algebra references in the bibliography
\index{Schafer, R.D.}
\begin{chunk}{axiom.bib}
@article{Scha61,
author = "Schafer, R.D.",
title = "An Introduction to Nonassociative Algebras",
year = "1961",
comment = "\refto{category NARNG NonAssociativeRng}",
url = "http://www.gutenberg.org/ebooks/25156",
paper = "Scha61.pdf",
abstract =
"These are notes for my lectures in July, 1961, at the Advanced
Subject Matter Institute in Algebra which was held at Oklahoma State
University in the summer of 1961.
Students at the Institute were provided with reprints of my paper,
{\sl Structure and representation of nonassociate algebras} (Bulletin
of the American Mathematical Society, vol. 61 (1955), pp469-484),
together with copies of a selective bibliography of more recent papers
on non-associative algebras. These notes supplement the 1955 Bulletin
article, bringing the statements there up to date and providing
detailed proofs of a selected group of theorems. The proofs illustrate
a number of important techniques used in the study of nonassociative
algebras."
}
\end{chunk}
\index{Schafer, R.D.}
\begin{chunk}{axiom.bib}
@book{Scha66,
author = "Schafer, R.D.",
title = "An Introduction to Nonassociative Algebras",
year = "1966",
publisher = "Academic Press, New York",
comment = "\refto{category NARNG NonAssociativeRng}",
comment = "documentation for AlgebraGivenByStructuralConstants"
}
\end{chunk}
\index{Schafer, R.D.}
\begin{chunk}{axiom.bib}
@book{Scha10,
author = "Schafer, R.D.",
title = "An Introduction to Nonassociative Algebras",
year = "2010",
publisher = "Benediction Classics",
comment = "\refto{category NARNG NonAssociativeRng}",
isbn = "978-1849025904",
abstract =
"Concise study presents in a short space some of the important ideas
and results in the theory of non-associative algebras, with particular
emphasis on alternative and (commutative) Jordan algebras. Written as
an introduction for graduate students and other mathematicians meeting
the subject for the first time."
}
\end{chunk}
\index{Bremner, Murray R.}
\begin{chunk}{axiom.sty}
@misc{Brem08,
author = "Bremner, Murray R.",
title = "Nonassociative Algebras",
year = "2008",
comment = "\refto{category NARNG NonAssociativeRng}",
abstract =
"One of the earliest surveys on nonassociative algebras is the article
by Shirshov which introduced the phrase ``rings that are nearly
associative''. The first book in the English language devoted to a
systematic study of nonassociative algebras is Schafer (Scha66). A
comprehensive exposition of the work of the Russian School is
Zhevlakov, Slinko, Shestakov and Shirshov. A collection of open
research problems in algebra, including many problems on
nonassociative algebra, is the {\sl Dniester Notebook}; the survey
article by Kuzmin and Shetakov is from the same period. Three books on
Jordan algebras which contain substantial material on general
nonassociative algebras are Braun and Koecher, Jacobson, and
McCrimmon. Recent research appears in the Proceedings of the
International Conferences on Nonassociative Algebras and its
Applications. The present section provides very limited information on
Lie algebras, since they are the subject of Section 16.4. The last
part (section 9) of the present section presents three applications of
computational linear algebra to the study of polynomial identiies for
nonassociative algebras: pseudorandom vectors in a nonassociative
algebra, the expansion matrix for a nonassociative operation, and the
representation theory of the symmetric group."
}
\end{chunk}
---
books/bookvol10.2.pamphlet | 6 ++-
books/bookvolbib.pamphlet | 81 ++++++++++++++++++++++++++++++
changelog | 3 +
patch | 108 +++++++++++++++++++++++++++++++++-------
src/axiom-website/patches.html | 2 +
5 files changed, 179 insertions(+), 21 deletions(-)
diff --git a/books/bookvol10.2.pamphlet b/books/bookvol10.2.pamphlet
index d0a4a8a..b3cff2f 100644
--- a/books/bookvol10.2.pamphlet
+++ b/books/bookvol10.2.pamphlet
@@ -37770,14 +37770,16 @@ These exports come from \refto{Monad}():
?**? : (%,PositiveInteger) -> %
\end{verbatim}
+See: Schafer \cite{Scha61}\cite{Scha66}\cite{Scha10}; Bremer \cite{Brem08}
+\label{category NARNG NonAssociativeRng}
\begin{chunk}{category NARNG NonAssociativeRng}
)abbrev category NARNG NonAssociativeRng
++ Author: J. Grabmeier, R. Wisbauer
++ Date Created: 01 March 1991
++ Date Last Updated: 03 July 1991
++ Reference:
-++ R.D. Schafer: An Introduction to Nonassociative Algebras
-++ Academic Press, New York, 1966
+++ Scha10 An Introduction to Nonassociative Algebras
+++ Brem08 Nonassociative Algebras
++ Description:
++ NonAssociativeRng is a basic ring-type structure, not necessarily
++ commutative or associative, and not necessarily with unit.\br
diff --git a/books/bookvolbib.pamphlet b/books/bookvolbib.pamphlet
index 382ad62..3123e68 100644
--- a/books/bookvolbib.pamphlet
+++ b/books/bookvolbib.pamphlet
@@ -10328,6 +10328,40 @@ Soc. for Industrial and Applied Mathematics, Philadelphia (1990)
\end{chunk}
+\index{Bremner, Murray R.}
+\begin{chunk}{axiom.bib}
+@misc{Brem08,
+ author = "Bremner, Murray R.",
+ title = "Nonassociative Algebras",
+ year = "2008",
+ comment = "\refto{category NARNG NonAssociativeRng}",
+ url =
+"http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.146.2665\&rep=rep1\&type=pdf",
+ abstract =
+ "One of the earliest surveys on nonassociative algebras is the article
+ by Shirshov which introduced the phrase ``rings that are nearly
+ associative''. The first book in the English language devoted to a
+ systematic study of nonassociative algebras is Schafer (Scha66). A
+ comprehensive exposition of the work of the Russian School is
+ Zhevlakov, Slinko, Shestakov and Shirshov. A collection of open
+ research problems in algebra, including many problems on
+ nonassociative algebra, is the {\sl Dniester Notebook}; the survey
+ article by Kuzmin and Shetakov is from the same period. Three books on
+ Jordan algebras which contain substantial material on general
+ nonassociative algebras are Braun and Koecher, Jacobson, and
+ McCrimmon. Recent research appears in the Proceedings of the
+ International Conferences on Nonassociative Algebras and its
+ Applications. The present section provides very limited information on
+ Lie algebras, since they are the subject of Section 16.4. The last
+ part (section 9) of the present section presents three applications of
+ computational linear algebra to the study of polynomial identiies for
+ nonassociative algebras: pseudorandom vectors in a nonassociative
+ algebra, the expansion matrix for a nonassociative operation, and the
+ representation theory of the symmetric group."
+}
+
+\end{chunk}
+
\index{Broadbery, Peter A.}
\index{G{\'o}mez-D{\'\i}az, Teresa}
\index{Watt, Stephen M.}
@@ -17707,17 +17741,64 @@ Num. Math. 16 205--223. (1970)
\index{Schafer, R.D.}
\begin{chunk}{axiom.bib}
+@article{Scha61,
+ author = "Schafer, R.D.",
+ title = "An Introduction to Nonassociative Algebras",
+ year = "1961",
+ comment = "\refto{category NARNG NonAssociativeRng}",
+ url = "http://www.gutenberg.org/ebooks/25156",
+ paper = "Scha61.pdf",
+ abstract =
+ "These are notes for my lectures in July, 1961, at the Advanced
+ Subject Matter Institute in Algebra which was held at Oklahoma State
+ University in the summer of 1961.
+
+ Students at the Institute were provided with reprints of my paper,
+ {\sl Structure and representation of nonassociate algebras} (Bulletin
+ of the American Mathematical Society, vol. 61 (1955), pp469-484),
+ together with copies of a selective bibliography of more recent papers
+ on non-associative algebras. These notes supplement the 1955 Bulletin
+ article, bringing the statements there up to date and providing
+ detailed proofs of a selected group of theorems. The proofs illustrate
+ a number of important techniques used in the study of nonassociative
+ algebras."
+}
+
+\end{chunk}
+
+\index{Schafer, R.D.}
+\begin{chunk}{axiom.bib}
@book{Scha66,
author = "Schafer, R.D.",
title = "An Introduction to Nonassociative Algebras",
year = "1966",
publisher = "Academic Press, New York",
+ comment = "\refto{category NARNG NonAssociativeRng}",
comment = "documentation for AlgebraGivenByStructuralConstants"
}
\end{chunk}
+\index{Schafer, R.D.}
+\begin{chunk}{axiom.bib}
+@book{Scha10,
+ author = "Schafer, R.D.",
+ title = "An Introduction to Nonassociative Algebras",
+ year = "2010",
+ publisher = "Benediction Classics",
+ comment = "\refto{category NARNG NonAssociativeRng}",
+ isbn = "978-1849025904",
+ abstract =
+ "Concise study presents in a short space some of the important ideas
+ and results in the theory of non-associative algebras, with particular
+ emphasis on alternative and (commutative) Jordan algebras. Written as
+ an introduction for graduate students and other mathematicians meeting
+ the subject for the first time."
+}
+
+\end{chunk}
+
\index{Schoenberg, I. J.}
\index{Whitney, A.}
\begin{chunk}{ignore}
diff --git a/changelog b/changelog
index fb121bf..435003d 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,6 @@
+20160621 tpd src/axiom-website/patches.html 20160621.06.tpd.patch
+20160621 tpd books/bookvol10.2 Scha61,Scha66,Scha10,Brem08 NonAssociativeRng
+20160621 tpd books/bookvolbib Scha61,Scha66,Scha10,Brem08 NonAssociativeRng
20160621 tpd src/axiom-website/patches.html 20160621.05.tpd.patch
20160621 tpd books/bookvol10.2 Aubr99 category TSETCAT TriangularSetCategory
20160621 tpd books/bookvolbib Aubr99 category TSETCAT TriangularSetCategory
diff --git a/patch b/patch
index d2c29f2..b1edb67 100644
--- a/patch
+++ b/patch
@@ -1,29 +1,99 @@
-books/bookvolbib Aubr99 category TSETCAT TriangularSetCategory
+books/bookvolbib Scha61,Scha66,Scha10,Brem08 category NonAssociativeRng
Goal: Axiom Literate Programming
Collect algebra references in the bibliography
-\index{Aubry, Phillippe}
-\index{Lazard, Daniel}
-\index{Maza, Marc Moreno}
+\index{Schafer, R.D.}
\begin{chunk}{axiom.bib}
-@article{Aubr99,
- author = "Aubry, Phillippe and Lazard, Daniel and {Moreno Maza}, Marc",
- title = "On the Theories of Triangular Sets",
- year = "1999",
- pages = "105-124",
- journal = "Journal of Symbolic Computation",
- volume = "28",
- url = "http://www.csd.uwo.ca/~moreno/Publications/Aubry-Lazard-MorenoMaza-1999-JSC.pdf",
- papers = "Aubr99.pdf",
- comment = "\refto{category TSETCAT TriangularSetCategory}",
- abstract =
- "Different notions of triangular sets are presented. The relationship
- between these notions are studied. The main result is that four
- different existing notions of {\sl good} triangular sets are
- equivalent."
+@article{Scha61,
+ author = "Schafer, R.D.",
+ title = "An Introduction to Nonassociative Algebras",
+ year = "1961",
+ comment = "\refto{category NARNG NonAssociativeRng}",
+ url = "http://www.gutenberg.org/ebooks/25156",
+ paper = "Scha61.pdf",
+ abstract =
+ "These are notes for my lectures in July, 1961, at the Advanced
+ Subject Matter Institute in Algebra which was held at Oklahoma State
+ University in the summer of 1961.
+
+ Students at the Institute were provided with reprints of my paper,
+ {\sl Structure and representation of nonassociate algebras} (Bulletin
+ of the American Mathematical Society, vol. 61 (1955), pp469-484),
+ together with copies of a selective bibliography of more recent papers
+ on non-associative algebras. These notes supplement the 1955 Bulletin
+ article, bringing the statements there up to date and providing
+ detailed proofs of a selected group of theorems. The proofs illustrate
+ a number of important techniques used in the study of nonassociative
+ algebras."
+}
+
+\end{chunk}
+
+\index{Schafer, R.D.}
+\begin{chunk}{axiom.bib}
+@book{Scha66,
+ author = "Schafer, R.D.",
+ title = "An Introduction to Nonassociative Algebras",
+ year = "1966",
+ publisher = "Academic Press, New York",
+ comment = "\refto{category NARNG NonAssociativeRng}",
+ comment = "documentation for AlgebraGivenByStructuralConstants"
+
}
\end{chunk}
+\index{Schafer, R.D.}
+\begin{chunk}{axiom.bib}
+@book{Scha10,
+ author = "Schafer, R.D.",
+ title = "An Introduction to Nonassociative Algebras",
+ year = "2010",
+ publisher = "Benediction Classics",
+ comment = "\refto{category NARNG NonAssociativeRng}",
+ isbn = "978-1849025904",
+ abstract =
+ "Concise study presents in a short space some of the important ideas
+ and results in the theory of non-associative algebras, with particular
+ emphasis on alternative and (commutative) Jordan algebras. Written as
+ an introduction for graduate students and other mathematicians meeting
+ the subject for the first time."
+}
+
+\end{chunk}
+
+\index{Bremner, Murray R.}
+\begin{chunk}{axiom.sty}
+@misc{Brem08,
+ author = "Bremner, Murray R.",
+ title = "Nonassociative Algebras",
+ year = "2008",
+ comment = "\refto{category NARNG NonAssociativeRng}",
+ abstract =
+
+ "One of the earliest surveys on nonassociative algebras is the article
+ by Shirshov which introduced the phrase ``rings that are nearly
+ associative''. The first book in the English language devoted to a
+ systematic study of nonassociative algebras is Schafer (Scha66). A
+ comprehensive exposition of the work of the Russian School is
+ Zhevlakov, Slinko, Shestakov and Shirshov. A collection of open
+ research problems in algebra, including many problems on
+ nonassociative algebra, is the {\sl Dniester Notebook}; the survey
+ article by Kuzmin and Shetakov is from the same period. Three books on
+ Jordan algebras which contain substantial material on general
+ nonassociative algebras are Braun and Koecher, Jacobson, and
+ McCrimmon. Recent research appears in the Proceedings of the
+ International Conferences on Nonassociative Algebras and its
+ Applications. The present section provides very limited information on
+ Lie algebras, since they are the subject of Section 16.4. The last
+ part (section 9) of the present section presents three applications of
+ computational linear algebra to the study of polynomial identiies for
+ nonassociative algebras: pseudorandom vectors in a nonassociative
+ algebra, the expansion matrix for a nonassociative operation, and the
+ representation theory of the symmetric group."
+}
+
+\end{chunk}
+
diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html
index 36e1796..cce1f82 100644
--- a/src/axiom-website/patches.html
+++ b/src/axiom-website/patches.html
@@ -5356,6 +5356,8 @@ books/bookvol10.5 add chapter on optimizations

books/bookvolbib Hold11 category PRSPCAT ProjectiveSpaceCategory

20160621.05.tpd.patch
books/bookvolbib Aubr99 category TSETCAT TriangularSetCategory

+20160621.06.tpd.patch
+books/bookvolbib Scha61,Scha66,Scha10,Brem08 NonAssociativeRng

--
1.7.5.4