14 citations · 123 across the 26 of their papers we have counts for
4 papers · 1 filter
On graphs of bounded semilattices
Parastoo Malakooti Rad, Peyman Nasehpour
In this paper, we introduce the graph of a bounded semilattice , which is a generalization of the intersection graph of the substructures of an algebraic structure. We pr…
Auslander Modules
Peyman Nasehpour
In this paper, we introduce the notion of Auslander modules, inspired from Auslander's zero-divisor conjecture (theorem) and give some interesting results for these modules. We als…
Pseudocomplementation and Minimal Prime Ideals in Semirings
Peyman Nasehpour
In the first section of the present work, we introduce the concept of pseudocomplementation for semirings and show semiring version of some known results in lattice theory. We also…
On zero-divisors of semimodules and semialgebras
Peyman Nasehpour
In Section 1 of the paper, we prove McCoy's property for the zero-divisors of polynomials in semirings. We also investigate zero-divisors of semimodules and prove that under suitab…