In this paper,⨁-supplemented semimodules are deined as generalizations of⨁-
supplemented modules. Let S be a semiring. An S-semimodule A is named a⨁ …

In this paper, a new kind of graph on a commutative semiring is introduced and investigated.
The maximal ideal graph of S, denoted by MG (S), is a graph with all nontrivial ideals of S as …

Let R be a commutative semiring with identity, and U be a unitary left R-semimodule. The
small intersection graph of nontrivial subsemimodules of U, denoted by Γ (U), is an …

The aim of this paper is to introduce the concept of Dedekind semimodules and study the
related concepts, such as the class of semimodules, and Dedekind multiplication …

In this work, injective semimodule has been generalized to almost-injective semimodule.
The aim of this research is to study the basic properties of the concept almost-injective …

Let M be a unitary left R-semimodule where R is a commutative semiring with identity. The
small intersection graph G (M) of a semimodule M is an undirected simple graph with all non …

In this paper, δ-lifting, δ-supplemented semimodules, and δ-semiperfect semiring are
defined as generalizations of δlifting and δ-supplemented modules, and δ-semiperfect ring …

Let $ S $ be a semiring with identity and $ U $ be a unitary left $ S $-semimodule. The co-
intersection graph of an $ S $-semimodule $ U $, denoted by $\Gamma (U) $, is defined to …

The aim of this paper is to study the concept of a semiring of endomorphisms of a 𝐷1
(Dedekind) semimodules (or simply 𝐷1semimodules). Here we prove that whenever𝑀is …

In this paper, δ-lifting, δ-supplemented semimodules, and δ-semiperfect semiring are
researched. Several properties of these semimodules and semirings are proved. For a …