Zobrazeno 1 - 10
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pro vyhledávání: '"Rafail Alizade"'
Autor:
Rafail Alizade, Sultan Eylem Toksoy
Publikováno v:
Journal of Algebra and Its Applications.
In this paper, we introduce and study the pure-direct-projective modules, that is the modules [Formula: see text] every pure submodule [Formula: see text] of which with [Formula: see text] isomorphic to a direct summand of [Formula: see text] is a di
Lopez-Permouth, Sergio/0000-0002-7376-2167
WOS: 000428834300002
As a mean to provide intrinsic characterizations of poor modules, the notion of a pauper module is introduced. A module is a pauper if it is poor and has no proper poor direct
WOS: 000428834300002
As a mean to provide intrinsic characterizations of poor modules, the notion of a pauper module is introduced. A module is a pauper if it is poor and has no proper poor direct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad21b2016ad768412387f4b621d0ae9c
https://hdl.handle.net/11147/7578
https://hdl.handle.net/11147/7578
Autor:
Rafail Alizade, Engin Büyükaşık
In this paper, poor abelian groups are characterized. It is proved that an abelian group is poor if and only if its torsion part contains a direct summand isomorphic to $\oplus_{p \in P} \Z_p$, where $P$ is the set of prime integers. We also prove th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::658b6dddbe15174922c5e2e29c822b7b
https://dspace.yasar.edu.tr/xmlui/handle/20.500.12742/10109
https://dspace.yasar.edu.tr/xmlui/handle/20.500.12742/10109
Autor:
Rafail Alizade, S. Güngӧr
It is shown that if a submodule N of M is co-coatomically supplemented and M/N has no maximal submodule, then M is a co-coatomically supplemented module. If a module M is co-coatomically supplemented, then every finitely M-generated module is a co-co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8f71a5713010536eb3376878d8e5f90
https://dspace.yasar.edu.tr/xmlui/handle/20.500.12742/7639
https://dspace.yasar.edu.tr/xmlui/handle/20.500.12742/7639
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
Publikováno v:
Communications in Algebra. 42:56-72
We show that, for hereditary rings, the smallest proper classes containing respectively the classes of short exact sequences determined by small submodules, submodules that have supplements and weak supplement submodules coincide. Moreover, we show t
Autor:
Rafail Alizade, Sultan Eylem Toksoy
Publikováno v:
Arabian Journal for Science and Engineering. 36:919-923
In this paper it is shown that a lattice L is a cofinitely supplemented lattice if and only if every maximal element of L has a supplement in L. If a/0 is a cofinitely supplemented sublattice and 1/a has no maximal element, then L is cofinitely suppl
Autor:
Rafail Alizade, Engin Büyükaşık
Publikováno v:
Communications in Algebra. 31:5377-5390
We prove that a module M is cofinitely weak supplemented or briefly cws (i.e., every submodule N of M with M/N finitely generated, has a weak supplement) if and only if every maximal submodule has a weak supplement. If M is a cws-module then every M-
Autor:
Rafail Alizade, Damla Dede Sipahi
Publikováno v:
Journal of Algebra and Its Applications. 16:1750203
In this paper, we give a complete description of the projectively poor abelian groups and prove that there exists a pure projectively poor abelian group. We show that over a commutative Artinian ring every module having a projectively poor factor mod
Autor:
Surajo Ibrahim Isah, Rafail Alizade
Publikováno v:
Journal of Algebra and Its Applications. 16:1750048
In this paper, we describe completely the [Formula: see text]-singular subgroup of an abelian group and a [Formula: see text]-nonsingular abelian group in terms of the basic subgroups of its [Formula: see text]-components and the quotient group by th