NSTL国家科技图书文献中心

1. Commutative rings in which every ideal is S -2-absorbing NSTL国家科技图书文献中心

El Khair, Imane | Kim, Hwankoo ... - 《Rendiconti del Circolo Matematico di Palermo》 - 2025,74(1) - 共12页

摘要：, including trivial* ring extensions and the amalgamation of* | Let R be a commutative ring* with identity and* | . We define a ring* R as S-2-absorbing if every proper* | these properties extend to various ring* constructions* | S a multiplicative subset of R. This paper

关键词： 2-absorbing ideal | S -2-absorbing ideal | S -2-absorbing ring | Trivial ring extension | Amalgamated algebra

2. On regular fusible modules NSTL国家科技图书文献中心

Naji, Osama A. | Ozen, Mehmet ... - 《Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales,Serie A.Matematicas》 - 2025,119(1) - 共10页

摘要： Cartesian product, trivial* extension ring, and module of | regular fusible modules. Let R be a ring with an* | right duo ring* is reduced and nonsingular. Moreover* | In this article, we introduce the notion of | identity and M an R-module. An element 0 not equal m is

关键词： Regular fusible module | Fusible module | Fusible ring | Regular fusible ring | Regular fusible submodule

3. Cotorsion pairs and Hovey triples over trivial ring extensions NSTL国家科技图书文献中心

Mao, Lixin - 《Communications in algebra》 - 2024,52(1/2) - 148～171 - 共24页

摘要：Let R?M be a trivial* extension of a ring R by* | an R-R-bimodule M. We first give some homological | formulas over R?M. Then we investigate how to construct | (hereditary, complete) cotorsion pairs and (hereditary | , cofibrantly generated) Hovey triples over R?M. Finally, some

关键词： Cotorsion pair | Hovey triple | Morita context ring | trivial ring extension | FORMULAS

4. Rings with divisibility on descending chains of ideals NSTL国家科技图书文献中心

Safi, Oussama Aymane... | Mahdou, Najib ... - 《Czechoslovak Mathematical Journal》 - 2024,74(3) - 665～673 - 共9页

摘要： rings to the trivial, amalgamation and polynomial ring | ring satisfying DCCd condition. At the end of this | This paper deals with the rings which satisfy | DCCd condition. This notion has been introduced | recently by R. Dastanpour and A. Ghorbani (2017) as a

关键词： DCCd | amalgamation of ring | trivial ring extension | Noetherian ring | Artinian ring | polynomial ring extension | AMALGAMATED DUPLICATION

5. Rings in which every S-finitely presented ideal is finitely presented NSTL国家科技图书文献中心

Chhiti, Mohamed | Mahdou, Salah Eddine - 《Rendiconti del Circolo Matematico di Palermo》 - 2024,73(7) - 2399～2411 - 共13页

摘要： product, trivial* ring extensions and pullbacks. Our* | finitely presented called SWC-rings. Hence, a ring* is* | coherent if and only if it is S-coherent and an SWC-ring | context of commutative ring* extensions such as direct* | In this paper, we introduce a new class of

关键词： S-finitely presents ideal | S-coherent ring | SWC-ring | Trivial ring extension | Pullback

6. Dual modules, f-projectivemodules and Ⅱ-coherence over trivial ring extensions NSTL国家科技图书文献中心

Lixin Mao - 《Communications in algebra》 - 2024,52(7/8) - 2737～2749 - 共13页

摘要：Let R ? M be a trivial* extension of a ring R* | Ⅱ-coherent ring. In addition, some applications | by an R-R-bimodule M. We first describe explicitly | the structure of a dual module over R?M. Then we | characterize Mittag-Leffler modules and f -projective modules

关键词： Ⅱ-coherent ring | Dual module | f -projective module | formal triangular matrix ring | trivial extension

7. A GENERALIZATION OF CONDUCIVE DOMAINS NSTL国家科技图书文献中心

Kim, Hwankoo | Kumar, Rahul - 《Bulletin of the Korean Mathematical Society》 - 2024,61(6) - 1593～1605 - 共13页

摘要： construction and a trivial* ring *extension. | A domain R is called conducive if every | conductor ideal (R : T ) is nonzero for all overrings T of | R other than the quotient field of R . Let 7-t | denote the set of all commutative rings R for which the

关键词： phi-conducive ring | conducive domain | phi-seminormal ring | phi-finite conductor ring

8. On weakly S-primary ideals of commutative rings NSTL国家科技图书文献中心

Celikel, Ece Yetkin | Khashan, Hani A. - 《Journal of algebra and its applications》 - 2024,23(10) - 共20页

摘要：- theoretic constructions such as the trivial ring extension | Let R be a commutative ring* with identity and* | element r in any general ZPI-ring, the (weakly) Sr | stability of this new concept with respect to various ring | S be a multiplicatively closed subset of R. The

关键词： S-prime ideal | S-primary ideal | weakly S-prime ideal | S-n-ideal | weakly S-n-ideal | weakly S-primary ideal | AMALGAMATED DUPLICATION | N-IDEALS

9. On φ- P -flat modules and φ-von Neumann regular rings NSTL国家科技图书文献中心

Mahdou, Najib | Oubouhou, El Houssai... - 《Journal of algebra and its applications》 - 2024,23(9) - 共19页

摘要： amalgamation of rings along an ideal and trivial ring | Let R be a commutative ring* with a nonzero* | the phi-von Neumann regular ring* and its transfer to* | extension. | identity and M an R- module. Set phi-tor (M) = {x is an

关键词： phi-flat | phi-projective | phi-P-flat | phi-PFM-ring | phi-von Neumann regular rings

10. CONSTRUCTIONS OF QUANDLES OVER GROUPS AND RINGS NSTL国家科技图书文献中心

Simonov, A. A. | Neshchadim, M. V.... - 《Siberian Mathematical Journal》 - 2024,65(3) - 627～638 - 共12页

摘要：: extension* of a trivial quandle by a group with a* | commutative unital ring. | We present the following constructions | nontrivial abelian subgroup, a quandle over a | noncommutative group by an arbitrary antiautomorphism, a

关键词： quandle | Hosszu quandle | trivial quandle | Alexander quandle | generalized Alexander quandle | self-distributivity | distributive | group | automorphism | antiautomorphism...

摘要：, including trivial ring extensions and the amalgamation of | Let R be a commutative ring with identity and | . We define a ring R as S-2-absorbing if every proper | these properties extend to various ring constructions | S a multiplicative subset of R. This paper

关键词： 2-absorbing ideal | S -2-absorbing ideal | S -2-absorbing ring | Trivial ring extension | Amalgamated algebra

摘要： Cartesian product, trivial extension ring, and module of | regular fusible modules. Let R be a ring with an | right duo ring is reduced and nonsingular. Moreover | In this article, we introduce the notion of | identity and M an R-module. An element 0 not equal m is

关键词： Regular fusible module | Fusible module | Fusible ring | Regular fusible ring | Regular fusible submodule

摘要：Let R?M be a trivial extension of a ring R by | an R-R-bimodule M. We first give some homological | formulas over R?M. Then we investigate how to construct | (hereditary, complete) cotorsion pairs and (hereditary | , cofibrantly generated) Hovey triples over R?M. Finally, some

关键词： Cotorsion pair | Hovey triple | Morita context ring | trivial ring extension | FORMULAS

摘要： rings to the trivial, amalgamation and polynomial ring | ring satisfying DCCd condition. At the end of this | This paper deals with the rings which satisfy | DCCd condition. This notion has been introduced | recently by R. Dastanpour and A. Ghorbani (2017) as a

关键词： DCCd | amalgamation of ring | trivial ring extension | Noetherian ring | Artinian ring | polynomial ring extension | AMALGAMATED DUPLICATION

摘要： product, trivial ring extensions and pullbacks. Our | finitely presented called SWC-rings. Hence, a ring is | coherent if and only if it is S-coherent and an SWC-ring | context of commutative ring extensions such as direct | In this paper, we introduce a new class of

关键词： S-finitely presents ideal | S-coherent ring | SWC-ring | Trivial ring extension | Pullback

摘要：Let R ? M be a trivial extension of a ring R | Ⅱ-coherent ring. In addition, some applications | by an R-R-bimodule M. We first describe explicitly | the structure of a dual module over R?M. Then we | characterize Mittag-Leffler modules and f -projective modules