Title of article
VALUED-POTENT (GENERAL) MULTIRINGS
Author/Authors
Hamidi ، M. Department of Mathematics - Payame Noor University (PNU) , Tavakoli ، A. A. Department of Mathematics - Payame Noor University (PNU) , Ameri ، R. School of Mathematics, Statistics and Computer Sciences - University of Tehran
From page
49
To page
68
Abstract
This paper extends multirings to a novel concept as general multirings, investigates their properties and presents a special general multirings as notation of (m,n)-potent general multirings. This study analyzes the differences between class of multirings, general multirings and general hyperrings and constructs the class of (in)finite general multirings based on any given nonempty set. In final, we define the concept of hyperideals in general multirings and compare with hyperideals in other similar (hyper)structures.
Keywords
(General) Multiring , (m , n) , Potent (general) multiring , General hyperring , Hyperideal
Journal title
Journal of Algebraic Systems
Journal title
Journal of Algebraic Systems
Record number
2735366
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