Year: 2024
Type: article
Abstract: In this paper, we introduce semihypermodules over semihyperrings as a generalization of semimodules over semirings. Besides studying their properties, we introduce an equivalence relation on them and use it to define factor semihypermodules. Moreover, we discuss the (semi-)isomorphism theorems for semihypermodules and present some of their interesting applications. Finally, we project our results on semihyperrings and deduce the (semi-)isomorphism theorems for semihyperrings.
Authors: Madeleine Al Tahan, Bijan Davvaz
Institutions: Abu Dhabi University, Yazd University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4406779285