Maximal ideal graph of commutative semirings

AH Alwan - International Journal of Nonlinear Analysis and …, 2021 - ijnaa.semnan.ac.ir
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 …

[PDF][PDF] δ-Lifting and δ-Supplemented Semi modules

Z Sharif, A Alwan - Journal of Optoelectronics Laser, 2022 - researchgate.net
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 …

On the co-intersection graph of subsemimodules of a semimodule

AH Alwan, ZA Nema - International Journal of Nonlinear …, 2022 - ijnaa.semnan.ac.ir
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 …

T-Extending Semimodule over Semiring

S Alhashemi, AMA Alhossaini - 2021 7th International …, 2021 - ieeexplore.ieee.org
Themain aim of this research is to present and study several basic characteristics of the idea
of t-extending semimodules. The semimodule F is said to be a t-extending semimodule if …

[PDF][PDF] δ-Semiperfect Semirings and δ-Lifting Semimodules

ZR Sharif, AH Alwan - Journal of Optoelectronics Laser, 2022 - researchgate.net
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 …