4 papers
On Fusible Rings
M. Tamer Kosan, Jerzy Matczuk
We answer in negative two of questions posed in [4]. We also establish a new characterization of semiprime left Goldie rings by showing that a semiprime ring R is left Goldie iff i…
On UJ-rings
M. Tamer Kosan, Andre Leroy, Jerzy Matczuk
UJ-rings are studied, i.e. ring in which all units can be presented in a form 1 + x, for some x\in J(R). The behavior of UJ-rings under various algebraic construction is investigat…
Rings with each right ideal automorphism-invariant
M. Tamer Koşan, Truong Cong Quynh, Ashish K. Srivastava
In this paper, we study rings having the property that every right ideal is automorphism-invariant. Such rings are called right -rings. It is shown that (1) a right -ring is…
Correspondences of coclosed submodules
Septimiu Crivei, Hatice Inankıl, M. Tamer Koşan +1
We establish an order-preserving bijective correspondence between the sets of coclosed elements of some bounded lattices related by suitable Galois connections. As an application,…