When a (dual-)Baer module is a direct sum of (co-)prime modules

Autor: M. R. Vedadi, Najma Ghaedan

Publikováno v: Sibirskie Elektronnye Matematicheskie Izvestiya. 18:782-791

Since 2004, Baer modules have been considered by many authors as a generalization of the Baer rings. A module $M_R$ is called Baer if every intersection of the kernels of endomorphisms on $M_R$ is a direct summand of $M_R$. It is known that commutati

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::96432f4d1ed1c54046dc9bc471ee8ae5
https://doi.org/10.33048/semi.2021.18.057

On rings whose modules have nonzero homomorphisms to nonzero submodules

Autor: Y. Tolooei, M. R. Vedadi

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques; Vol. 57, Núm. 1 (2013); p. 107-122
Publ. Mat. 57, no. 1 (2013), 107-122
Recercat. Dipósit de la Recerca de Catalunya
instname

We carry out a study of rings $R$ for which $\operatorname{Hom}_R(M,N)\neq 0$ for all nonzero $ N\leq M_R$. Such rings are called retractable. For a retractable ring, Artinian condition and having Krull dimension are equivalent. Furthermore, a right

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f587f658b98cd7dfe9edf850a26e877
http://hdl.handle.net/2072/398171

A Brief Survey on Semiprime and Weakly Compressible Modules

Autor: N. Dehghani, M. R. Vedadi

Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9789811554544

This is a brief survey on a module generalization of the concepts of prime (semiprime) for a ring. An R-module M is called weakly compressible if Hom\(_R(M,N)N\) is nonzero for every \(0\ne N \le M_R\). They are semiprime (i.e., \(M\in \) Cog(N) for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5a2745c95444e09525bea95e6351e350
https://doi.org/10.1007/978-981-15-5455-1_13

Virtually semisimple modules and a generalization of the Wedderburn-Artin theorem

Autor: Asghar Daneshvar, Mahmood Behboodi, M. R. Vedadi

Publikováno v: Communications in Algebra. 46:2384-2395

By any measure, semisimple modules form one of the most important classes of modules and play a distinguished role in the module theory and its applications. One of the most fundamental results in this area is the Wedderburn-Artin theorem. In this pa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4f7e0738f29508ac5f31d16cb67383d
https://doi.org/10.1080/00927872.2017.1384002

Modules whose Endomorphism Rings have Finite Triangulating Dimension and Some Applications

Autor: Mehdi Gurabi, A. Haghany, M. R. Vedadi

Publikováno v: Mediterranean Journal of Mathematics. 10:1171-1187

By defining orthogonal decomposition for modules, we prove that an R-module M has only finitely many fully invariant direct summands if and only if EndR(M) has triangulating dimension \({n = {\rm Sup}\{k \in \mathbb{N} | M = \oplus^{k}_{i=1}M_{i}}\)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9a2fd39ff7ff0d7bde7060293deefa7e
https://doi.org/10.1007/s00009-013-0255-3