[图书][B] Handbook of finite fields
GL Mullen, D Panario - 2013 - api.taylorfrancis.com
The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …
book for the theory and applications of finite fields. It is not intended to be an introductory …
[图书][B] Separable algebras over commutative rings
F De Meyer, E Ingraham - 2006 - books.google.com
These lecture notes were prepared by the authors for use in graduate courses and
seminars, based on the work of many earlier mathematicians. In addition to very elementary …
seminars, based on the work of many earlier mathematicians. In addition to very elementary …
Finite rings with applications
AA Nechaev - Handbook of Algebra, 2008 - Elsevier
The main classes of finite rings (fr) and modules interesting for applications are considered:
Wedderburn rings, local, chain and Galois rings,(quasi)-Frobenius bimodules. Polynomials …
Wedderburn rings, local, chain and Galois rings,(quasi)-Frobenius bimodules. Polynomials …
[图书][B] Galois theories
F Borceux, G Janelidze - 2001 - books.google.com
Starting from the classical finite-dimensional Galois theory of fields, this book develops
Galois theory in a much more general context, presenting work by Grothendieck in terms of …
Galois theory in a much more general context, presenting work by Grothendieck in terms of …
A Jacobian criterion for separability
SSS Wang - Journal of Algebra, 1980 - Elsevier
Contents. 1. Introduction and Notation; 2. A Jacobian Criterion for Separability; 3. A Jacobian
Criterion for Extension of Derivations; 4. Explicit Formulas for the Separability Idempotent; …
Criterion for Extension of Derivations; 4. Explicit Formulas for the Separability Idempotent; …
[图书][B] Separable algebras
TJ Ford - 2017 - books.google.com
This book presents a comprehensive introduction to the theory of separable algebras over
commutative rings. After a thorough introduction to the general theory, the fundamental roles …
commutative rings. After a thorough introduction to the general theory, the fundamental roles …
Rings of order p5 Part I. Nonlocal rings
B Corbas, GD Williams - Journal of Algebra, 2000 - Elsevier
Rings of Order p^{5} Part I. Nonlocal Rings Page 1 Ž . Journal of Algebra 231, 677690 2000
doi:10.1006rjabr.2000.8349, available online at http:rrwww.idealibrary.com on Rings of Order …
doi:10.1006rjabr.2000.8349, available online at http:rrwww.idealibrary.com on Rings of Order …
Enumeration of finite commutative chain rings
WE Clark, JJ Liang - Journal of Algebra, 1973 - Elsevier
A chain ring is an associative, commutative ring with an identity whose ideals form a chain.
We associate with each finite chain ring five invariants (integers) and determine (in certain …
We associate with each finite chain ring five invariants (integers) and determine (in certain …
Finite local rings
G Ganske, BR McDonald - The Rocky Mountain Journal of Mathematics, 1973 - JSTOR
In this paper we examine finite local commutative rings which are the building blocks of finite
commutative rings. For a finite local ring R our attention centers on the basic structural …
commutative rings. For a finite local ring R our attention centers on the basic structural …
A coefficient ring for finite non-commutative rings
WE Clark - Proceedings of the American Mathematical Society, 1972 - ams.org
We prove that every finite p-ring R contains a unique (up to isomorphism) subring S such
that $ S/pS\cong R/{\operatorname {rad}}\; R $. S is shown to be a direct sum of full matrix …
that $ S/pS\cong R/{\operatorname {rad}}\; R $. S is shown to be a direct sum of full matrix …