Abstract
In this work, we introduce the notion of 2-absorbing semiprimary fuzzy ideal which is a generalization of semiprimary fuzzy ideal. Let $ R $ be a ring. Then the nonconstant fuzzy ideal $ \mu $ is called a 2-absorbing semiprimary fuzzy ideal if $ \sqrt{\mu } $ is a 2-absorbing fuzzy ideal of $ R $. Furthermore, we give some fundamental results concerning these notions.
Keywords
Ideal (ethics)
Mathematics
Fuzzy logic
Generalization
Commutative ring
Ring (chemistry)
Primary ideal
Pure mathematics
Maximal ideal
Commutative property
Discrete mathematics
Algebra over a field
Computer science
Mathematical analysis
Principal ideal ring
Artificial intelligence
Philosophy
Epistemology
Subject Areas
Fuzzy and Soft Set Theory
·Management Science and Operations Research ·Social Sciences
Rings, Modules, and Algebras
·Algebra and Number Theory ·Physical Sciences
Advanced Algebra and Logic
·Computational Theory and Mathematics ·Physical Sciences
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