Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Noyan Er"'
Autor:
Noyan Er, Zübeyir Türkoğlu
Publikováno v:
Communications in Algebra. 46:4052-4063
A variety of rings including those that are Morita equivalent to local perfect rings, two by two upper triangular matrix rings over a division ring or certain rings arising in the framework of rings described by various test modules for injectivity s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b405049803e3fb3c8657ada2a8460f5
https://doi.org/10.1080/00927872.2018.1435789
https://doi.org/10.1080/00927872.2018.1435789
Publikováno v:
Journal of Algebra. 466:208-228
A poor module is one that is injective relative only to semisimple modules and a module is maximally injective if its domain of injectivity is a coatom in the lattice of domains of injectivity (the so called injective profile of a ring). A ring is sa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acba6d46a12c5d676348b54c0d08919d
https://doi.org/10.1016/j.jalgebra.2016.08.003
https://doi.org/10.1016/j.jalgebra.2016.08.003
Autor:
Noyan Er
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 59:641-653
For two modules M and N, iM(N) stands for the largest submodule of N relative to which M is injective. For any module M, iM: Mod-R → Mod-R thus defines a left exact preradical, and iM(M) is quasi-injective. Classes of ring including strongly prime,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb6904b812429f136c721e5d92caf207
https://doi.org/10.1017/s0013091515000206
https://doi.org/10.1017/s0013091515000206
Publikováno v:
Journal of Algebra. 409:182-198
In a recent paper, Aydoǧdu and López-Permouth have defined a module M to be N-subinjective if every homomorphism N→M extends to some E(N)→M, where E(N) is the injective hull of N. Clearly, every module is subinjective relative to any injective
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35f91ca414a691570cbede1f452d9697
https://doi.org/10.1016/j.jalgebra.2014.03.027
https://doi.org/10.1016/j.jalgebra.2014.03.027
Publikováno v:
Journal of the Australian Mathematical Society. 79:349-360
In this paper certain injectivity conditions in terms of extensions of monomorphisms are considered. In particular, it is proved that a ring R is a quasi-Frobenius ring if and only if every monomorphism from any essential right ideal of R into R(N)R
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0f3e9cb79a4c63b16ce38c712596f17
https://doi.org/10.1017/s1446788700010946
https://doi.org/10.1017/s1446788700010946
Autor:
Noyan Er
Publikováno v:
Communications in Algebra. 31:5513-5523
A module M is called a CS module if every submodule of M is essential in a direct summand of M. In this paper, among other results, we prove that for a ring R with finitely generated right socle the following are equivalent: i) For every CS right R-m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8aa48633fe5b74603a80bd71d782a1c
https://doi.org/10.1081/agb-120023971
https://doi.org/10.1081/agb-120023971
It is proved, among other results, that a prime right nonsingular ring (in particular, a simple ring) $R$ is right self-injective if $R_R$ is invariant under automorphisms of its injective hull. This answers two questions raised by Singh and Srivasta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d160fcac95552caa94e6d9eddaeef931
http://arxiv.org/abs/1301.5841
http://arxiv.org/abs/1301.5841
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Every cyclic right module is a direct sum of uniform modules. We first prove the following improvement of the well-known Osofsky-Smith theorem: A cyclic m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08abdab3dd9f8753a7e4c57871661ae1
https://avesis.deu.edu.tr/publication/details/0402630e-806d-49a4-abb4-ec768ee74bdf/oai
https://avesis.deu.edu.tr/publication/details/0402630e-806d-49a4-abb4-ec768ee74bdf/oai
Er, Noyan/0000-0002-9225-3587; Lopez-Permouth, Sergio/0000-0002-7376-2167 WOS: 000287676000023 In a recent paper, Alahmadi. Alkan and Lopez-Permouth defined a module M to be poor if M is injective relative only to semisimple modules, and a ring to ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9697e3fb7744ceb00ce7e7dcf2a4672d
https://avesis.deu.edu.tr/publication/details/0f1ea925-bfb4-4720-887c-e430fd02f3b9/oai
https://avesis.deu.edu.tr/publication/details/0f1ea925-bfb4-4720-887c-e430fd02f3b9/oai