Yazar "Harmancı, Abdullah" için listeleme
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E-reversibility of rings via quasinilpotents
Köse, Handan; Ungor, Burcu; Harmancı, Abdullah (Walter De Gruyter Gmbh, 2023)The reversible property of rings was introduced by Cohn and has important generalizations in non commutative ring theory. In this paper, reversibility of rings is investigated in relation with quasinilpotents and idempotents, ... -
Lattice Properties Of The Minus Order On Regular Modules
Argun, Savcı Rahman; Çalcı, Tuğçe Pekacar; Halıcıoğlu, Sait; Harmancı, Abdullah; Üngör, Burcu (Rocky Mt Math Consortıum, 2022)The minus order on sets of matrices over a field and bounded linear operators on arbitrary Hilbert spaces has been an area of intense research. Recently, this partial order has been studied on regular modules by the present ... -
Nil-Reflexive Rings
Köse, Handan; Ungor, Burcu; Harmancı, Abdullah (2016)In this paper, we deal with a new approach to re*exive propertyfor rings by using nilpotent elements, in this direction we introduce nil-re*exiverings. It is shown that the notion of nil-re*exivity is a generalization of ... -
Reflexivity of Rings Via Nilpotent Elements
Harmancı, Abdullah; Köse, Handan; Kurtulmaz, Yosum; Üngör, Burcu (Unıon Matematıca Argentına, 2020)An ideal I of a ring R is called left N-reflexive if for any a 2 nil(R) and b is an element of R, aRb subset of I implies bRa subset of I, where nil(R) is the set of all nilpotent elements of R. The ring R is called left ... -
Reversible ring property via idempotent elements
Köse, Handan; Üngor, Burcu; Harmancı, Abdullah (De Gruyter Open Ltd, 2022)Regarding the question of how idempotent elements affect the reversible property of rings, we study a version of reversibility depending on idempotents. In this perspective, we introduce right (resp., left) e-reversible ... -
Semicommutativity of rings by the way of idempotents
Köse, Handan; Üngör, Burcu; Harmancı, Abdullah (University of Nis, 2019)In this paper, we focus on the semicommutative property of rings via idempotent elements. In this direction, we introduce a class of rings, so-called right e-semicommutative rings. The notion of right e-semicommutative ...
