[图书][B] Foundations of module and ring theory
R Wisbauer - 2018 - taylorfrancis.com
This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …
ring theory, including original results as well as the most recent work. It is a useful and …
Orthogonal completeness and algebraic systems
KI Beidar, AV Mikhalev - Russian Mathematical Surveys, 1985 - iopscience.iop.org
Abstract CONTENTS Introduction § 1. Orthogonally complete Boolean rings § 2.
Orthogonally complete Boolean algebraic systems over a Boolean ring § 3. The calculus of …
Orthogonally complete Boolean algebraic systems over a Boolean ring § 3. The calculus of …
The cotorsion dimension of modules and rings
L Mao, N Ding - Abelian groups, rings, modules, and homological …, 2016 - taylorfrancis.com
Chapter 19 The Cotorsion Dimension of Modules and Rings Lixin Mao Department of Basic
Courses, Nanjing Institute of Technology, Nanjing 210013, Peoples Republic of China …
Courses, Nanjing Institute of Technology, Nanjing 210013, Peoples Republic of China …
On idempotent reflexive rings
JY Kim, JU Baik - Kyungpook Mathematical Journal, 2006 - koreascience.kr
We introduce in this paper the concept of idempotent reflexive right ideals and concern with
rings containing an injective maximal right ideal. Some known results for reflexive rings and …
rings containing an injective maximal right ideal. Some known results for reflexive rings and …
von-Neumann 正则环与左SF-环
周海燕， 王小冬 - 数学研究与评论: 英文版, 2004 - cqvip.com
环R 称为左SF-环, 如果每个单左R-模是平坦的. 众所周知, Von-Neumann 正则环是SF-环, 但SF-
环是否是正则环至今仍是公开问题. 本文主要研究左SF-环是正则环的条件, 证明了: 如果R …
环是否是正则环至今仍是公开问题. 本文主要研究左SF-环是正则环的条件, 证明了: 如果R …
On rings whose right annihilators are bounded
SU Hwang, NK Kim, Y Lee - Glasgow Mathematical Journal, 2009 - cambridge.org
Jacobson said aa right ideal would be called bounded if it contained a non-zero ideal, and
Faith said a ring would be called strongly right bounded if every non-zero right ideal were …
Faith said a ring would be called strongly right bounded if every non-zero right ideal were …
Rings with flat left socle
L Zhongkui - Communications in Algebra, 1995 - Taylor & Francis
We recall that a study of rings with projective left socle and containing no infinite sets of
orthogonal idenlpotents was make by Gordon [7]. In the same paper he showed that S= SOC …
orthogonal idenlpotents was make by Gordon [7]. In the same paper he showed that S= SOC …
Rings whose nonzero modules have maximal submodules
AA Tuganbaev - Journal of Mathematical Sciences, 2002 - Springer
All rings are assumed to be associative and (except for nil-rings and some stipulated cases)
to have nonzero identity elements. Expressions such as a “Noetherian ring” mean that the …
to have nonzero identity elements. Expressions such as a “Noetherian ring” mean that the …
On max-flat and max-cotorsion modules
Y Alagöz, E Büyükaşık - Applicable Algebra in Engineering …, 2021 - Springer
In this paper, we continue to study and investigate the homological objects related to s-pure
and neat exact sequences of modules and module homomorphisms. A right module A is …
and neat exact sequences of modules and module homomorphisms. A right module A is …