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Shahabaddin Ebrahimi Atani and Fatemeh Esmaeili Khalil Saraei

Abstract

We introduce and investigate the total graph of a commutative semiring with non-zero identity. The main purpose of this paper is to extend the definition and some results given in [2] to a more general semiring case.

Open access

Shahabaddin Ebrahimi Atani and Fatemeh Esmaeili Khalil Saraei

Abstract

Let L be a complete lattice. In a manner analogous to a commutative ring, we introduce and investigate the L-fuzzy multiplication modules over a commutative ring with non-zero identity. The basic properties of the prime L-fuzzy submodules of L-fuzzy multiplication modules are characterized.