Browsing by Subject "commutative ring"

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  • On hereditary reducibility of 2-monomial matrices over commutative rings 
    Bondarenko, V. M.; Gildea, J.; Tylyshchak, A. A.; Yurchenko, N.V. (2019)
    A 2-monomial matrix over a commutative ring R is by definition any matrix of the form M(t, k, n) = Φ Ik 0 0 tIn−k , 0 < k < n, where t is a non-invertible element of R, Φ the companion matrix to λ n − 1 and Ik ...
  • On the genus of the annihilator graph of a commutative ring 
    Chelvam, T. T.; Selvakumar, K. (2017)
    Let R be a commutative ring and Z(R) ∗ be its set of non-zero zero-divisors. The annihilator graph of a commu- tative ring R is the simple undirected graph AG(R) with vertices Z(R) ∗ , and two distinct vertices ...
  • Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn 
    Chandra, S.; Prakash, O.; Suthar, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Let Zn be the finite commutative ring of residue classes modulo n with identity and Γ(Zn) be its zero-divisor graph. In this paper, we investigate some properties of nilradical graph, denoted by N(Zn) and non-nilradical ...