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The n-zero-divisor graph of a commutative semigroup
(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
(Taylor and Francis, 2020-08-14)
On phi-Dedekind rings and phi-Krull rings
(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 ...