Now showing items 1-9 of 9

    • Almost unit-clean rings 

      Chen, H.; Köse, H.; Kurtulmaz, Yosum (Editura Academiei Romane, 2019)
      A ring R is almost unit-clean provided that every element in R is equivalent to the sum of an idempotent and a regular element. We investigate conditions under which a ring is almost unit-clean. We prove that every ring ...
    • Local comparability of exchange ideals 

      Köse, H.; Kurtulmaz, Yosum; Chen, H. (Hacettepe University, 2019)
      An exchange ideal I of a ring R is locally comparable if for every regular x ∈ I there exists a right or left invertible u ∈ 1+I such that x = xux. We prove that every matrix extension of an exchange locally comparable ...
    • A nil approach to symmetricity of rings 

      Üngör, B.; Köse, H.; Kurtulmaz, Yosum; Harmancı, A. (Allahabad Mathematical Society, 2018)
      We introduce a weakly symmetric ring which is a generalization of a symmetric ring and a strengthening of both a GWS ring and a weakly reversible ring, and investigate properties of the class of this kind of rings. A ring ...
    • On π-Morphic modules 

      Harmanci, A.; Kose, H.; Kurtulmaz, Yosum (Hacettepe University, Department of Mathematics, 2013)
      Let R be an arbitrary ring with identity and M be a right R-module with S = End(MR). Let f ∈ S. f is called π-morphic if M/f n(M) ∼=rM(fn) for some positive integer n. A module M is called π-morphic if every f ∈ S is ...
    • Reflexivity of rings via nilpotent elements 

      Harmancı, A.; Köse, H.; Kurtulmaz, Yosum; Üngör, B. (Union Matematica Argentina, 2020)
      An ideal I of a ring R is called left N-reflexive if for any a ∈ nil(R) and b ∈ R, aRb ⊆ I implies bRa ⊆ I, where nil(R) is the set of all nilpotent elements of R. The ring R is called left N-reflexive if the zero ideal ...
    • Rings having normality in terms of the Jacobson radical 

      Köse, H.; Kurtulmaz, Yosum; Harmancı, A. (Springer, 2020)
      A ring R is defined to be J-normal if for any a,r∈Ra,r∈R and idempotent e∈Re∈R, ae=0ae=0 implies Rera⊆J(R)Rera⊆J(R), where J(R) is the Jacobson radical of R. The class of J-normal rings lies between the classes of weakly ...
    • Rings in which elements are a sum of a central and a unit element 

      Kurtulmaz, Yosum; Halıcıoğlu, S.; Harmancı, A.; Chen, H. (The Belgian Mathematical Society, 2019)
      In this paper we introduce a new class of rings whose elements are a sum of a central and a unit element, namely a ring RR is called CUCU if each element a∈Ra∈R has a decomposition a=c+ua=c+u where cc is central and uu is ...
    • Semicommutativity of amalgamated rings 

      Köse, H.; Kurtulmaz, Yosum; Üngör, B.; Harmancı, A. (Journal of Mathematical Research with Applications, 2018)
      In this paper, we study some cases when an amalgamated construction A ◃▹f I of a ring A along an ideal I of a ring B with respect to a ring homomorphism f from A to B, is prime, semiprime, semicommutative, nil-semicommutative ...
    • Structure theory of central simple ℤd-graded algebras 

      Koç, C.; Kurtulmaz, Yosum (TÜBİTAK, 2012)
      This paper investigates the structure theory of ℤd- central simple graded algebras and gives the complete decomposition into building block algebras. The results are also applied to generalized Clifford algebras, which are ...