Now showing items 1-3 of 3

    • The n-zero-divisor graph of a commutative semigroup 

      Anderson, David F.; Badawi, Ayman (Taylor and Francis, 2022-04-16)
      Let S be a (multiplicative) commutative semigroup with 0, Z(S) the set of zero-divisors of S, and n a positive integer. The zero-divisor graph of S is the (simple) graph Γ(S) with vertices Z(S) ∗ = Z(S) \ {0}, and distinct ...
    • On n-semiprimary ideals and n-pseudo valuation domains 

      Anderson, David F.; Badawi, Ayman (Taylor and Francis, 2020-08-14)
    • On phi-Dedekind rings and phi-Krull rings 

      Badawi, Ayman; Anderson, David F. (University of Houston, 2005)
      The purpose of this paper is to introduce two new classes of rings that are closely related to the classes of Dedekind domains and Krull domains. Let H = {R | R is a commutative ring with 1 and Nil(R) is a divided prime ...