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2002, Mathematics and its applications, ISBN 9781402008511, Volume 545., xii, 350
Book
2012, 1st ed., Oxford mathematical monographs, ISBN 9780199664511, x, 220
This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic... 
Mathematics | Noncommutative rings | algebra | Artin rings | Noetherian rings | Commutative rings | Cs modules | Injective modules | Quasi-injective modules | Continuous modules | Cyclic modules | Factor rings | N-injective modules | Proper cyclic modules | Cycles
Book
1998, Mathematics and its applications, ISBN 0792352092, Volume 449, x, 352
Book
2017, Algebra and Applications, ISBN 3319539078, Volume 23
This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the... 
Rings (Algebra) | Homological algebra | Algebra | Mathematics | Associative rings | Matrix theory | K-theory | Category theory (Mathematics)
Web Resource
1999, Algebra, logic, and applications, ISBN 9056991922, Volume 12., xv, 258
Book
Communications in Algebra, ISSN 0092-7872, 04/2018, Volume 46, Issue 4, pp. 1716 - 1721
Every automorphism-invariant non-singular right A-module is injective if and only if the factor ring of the ring A with respect to its right Goldie radical is... 
16D70 | strongly semiprime ring | 16D50 | Automorphism-invariant module | quasi-injective module | injective module | MATHEMATICS | STRONGLY PRIME-RINGS | Automorphisms | Invariants
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 2/2019, Volume 237, Issue 2, pp. 329 - 331
Let A be a right invariant ring. If A is a diagonalizable ring or an exchange Bezout ring, then B + r(M) = r(M/MB) for every finitely generated right A-module... 
Mathematics, general | Mathematics
Journal Article
2008, De Gruyter expositions in mathematics, ISBN 3110200538, Volume 43, ix, 357
Book
Journal of Algebra, ISSN 0021-8693, 09/2017, Volume 485, pp. 247 - 253
A ring is a right automorphism-invariant right non-singular ring if and only if , where a right self-injective regular ring and is a strongly regular ring... 
Injective module | Automorphism-invariant ring | Automorphism-invariant module | Quasi-injective module | MATHEMATICS | INJECTIVE-MODULES
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 06/2015, Volume 14, Issue 5, pp. 1550076 - 1-1550076-9
Let A be a right strongly prime ring and let M be a right A-module which is not singular. We obtain criteria of the property that M is an injective module or a... 
automorphism-invariant module | CS module | automorphism-extendable module | Strongly prime ring | injective module | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANT | Modules | Algebra | Criteria
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 02/2017, Volume 16, Issue 2
It is proved that semi-Artinian module M is an automorphism-invariant module if and only if M is an automorphism-extendable module. 
strongly automorphism-extendable module | automorphism-invariant module | semi-Artinian module | Automorphism-extendable module | MATHEMATICS | MATHEMATICS, APPLIED | RINGS | INJECTIVE-MODULES
Journal Article
Journal of Algebra, ISSN 0021-8693, 10/2018, Volume 512, pp. 109 - 118
A ring with center is said to be if the module is an essential extension of the module . In the paper, we study groups whose group algebras over fields are... 
Centrally essential ring | FC-group | Group ring | MATHEMATICS | Algebra
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 9/2018, Volume 233, Issue 5, pp. 604 - 615
This paper contains new and known results on formal matrix rings close to regular. The main results are given with proofs. 
Mathematics, general | Mathematics | Rings (mathematics) | MATHEMATICAL SOLUTIONS | CANONICAL DIMENSION | MATRICES | MATHEMATICAL METHODS AND COMPUTING
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 9/2018, Volume 233, Issue 5, pp. 656 - 658
We prove that B + AnnM = Ann(M/MB) for every finitely generated right module M over a strongly regular ring A and every ideal B of the ring A. 
Mathematics, general | Mathematics | MATHEMATICS | NEUMANN SERIES | ANNIHILATION OPERATORS | RINGS | MATHEMATICAL METHODS AND COMPUTING
Journal Article
Communications in Algebra, ISSN 0092-7872, 04/2019, Volume 47, Issue 4, pp. 1642 - 1649
A ring R with center C is said to be centrally essential if the module R C is an essential extension of the module C C . We describe centrally essential... 
semi-Artinian ring | Centrally essential ring | 16U80 | 16U70 | 16P10 | 16L30 | essential extension | exterior algebra | center of the ring | 16N60 | MATHEMATICS | Modules | Rings (mathematics)
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 2014, Volume 13, Issue 6, pp. 1450001 - 1-1450001-2
We provide a counterexample to Theorem 2.6 in a Ziembovski paper. 
semihereditary ring | Flat module | MATHEMATICS | MATHEMATICS, APPLIED | Paper | Theorems | Algebra
Journal Article
Discrete Mathematics and Applications, ISSN 0924-9265, 04/2019, Volume 29, Issue 2, pp. 143 - 147
For a ring , the following conditions are equivalent. 
strongly semiprime ring | quasi-injective module | injective module | Modules
Journal Article
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