Browsing by Author "Turkmen, Ergul"

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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 ...