Yazar "Turkmen, Ergul" için listeleme
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On rings with one middle class of injectivity domains
Demirci, Yilmaz Mehmet; Alizade, Rafail; Turkmen, Burcu Nisanci; Turkmen, Ergul (UNIV OSIJEK, DEPT MATHEMATICSUNIV OSIJEK, DEPT MATHEMATICS, TRG LJUDEVITA GAJA 6, OSIJEK HR-31000, CROATIA, 2022)A module M is said to be modest if the injectivity domain of M is the class of all crumbling modules. In this paper, we investigate the basic properties of modest modules. We provide characterizations of some classes of ... -
Rings with modules having a restricted injectivity domain
Demirci, Yilmaz Mehmet; Turkmen, Burcu Nisanci; Turkmen, Ergul (SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND, 2019)We introduce modules whose injectivity domains are contained in the class of modules with zero radical and call them working-class. This notion gives a generalization of poor modules that have minimal injectivity domain. ... -
RINGS WITH VARIATIONS OF FLAT COVERS
Demirci, Yilmaz Mehmet; Turkmen, Ergul (HONAM MATHEMATICAL SOC, DEPT MATHEMATICS, COLL NATURAL SCIENCE, CHOSUN UNIV, 309, PILMUN-DAERO, DONG-GU, GWANGJU, 501-759, SOUTH KOREA, 2019)We introduce flat e-covers of modules and define e-perfect rings as a generalization of perfect rings. We prove that a ring is right perfect if and only if it is semilocal and right e-perfect which generalizes a result due ... -
WSA-Supplements and Proper Classes
Demirci, Yilmaz Mehmet; Turkmen, Ergul (MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2022)In this paper, we introduce the concept of wsa-supplements and investigate the objects of the class of short exact sequences determined by wsa-supplement submodules, where a submodule U of a module M is called a ...
