Browsing by Author "Ungor, Burcu"
Now showing items 1-8 of 8
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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, ... -
A GENERALIZATION OF REDUCED RINGS
Kose, Handan; Ungor, Burcu; Halicioglu, Sait (HACETTEPE UNIV, FAC SCI, 2012)Let R be a ring with identity. We introduce a class of rings which is a generalization of reduced rings. A ring R is called central rigid if for any a, b is an element of R, a(2)b = 0 implies ab belongs to the center of ... -
A generalization of reduced rings
Köse, Handan; Ungor, Burcu; Halıcıoglu, Sait (2012)Let R be a ring with identity. We introduce a class of rings which is a generalization of reduced rings. A ring R is called central rigidif for any a,b ∈ R, $a^2 b = 0$ implies ab belongs to the center of R.Since ... -
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 ... -
NIL-REFLEXIVE RINGS
Kose, Handan; Ungor, Burcu; Harmanci, Abdullah (ANKARA UNIV, FAC SCI, 2016)In this paper, we deal with a new approach to reflexive property for rings by using nilpotent elements, in this direction we introduce nil-reflexive rings. It is shown that the notion of nil-reflexivity is a generalization ... -
On Weak Symmetric Property of Rings
Harmanci, Abdullah; Kose, Handan; Ungor, Burcu (SOUTHEAST ASIAN MATHEMATICAL SOC-SEAMS, 2018)A concept of a weak symmetric ring is defined by Ouyang and Chen, that is, a ring R is called weak symmetric if abc being nilpotent implies that acb is nilpotent for all a, b, c is an element of R. In this note we continue ... -
A perspective on amalgamated rings via symmetricity
Kose, Handan; Ungor, Burcu; Kurtulmaz, Yosum; Harmanci, Abdullah (AMER MATHEMATICAL SOC, 2019)In this paper, we deal with some versions of reversibility and symmetricity on amalgamated rings along an ideal. -
Semicommutativity of the rings relative to prime radical
Kose, Handan; Ungor, Burcu (CHARLES UNIV, 2015)In this paper, we introduce a new kind of rings that behave like semicommutative rings, but satisfy yet more known results. This kind of rings is called P-semicommutative. We prove that a ring R is P-semicommutative if and ...
