Abstract
A study on ordered AG-groupoids by their fuzzy interior ideals
Highlights
Algebraic structures play a prominent role in mathematics with wide-ranging applications in
Semigroups concentrate on theoretical aspects, they include applications in errorcorrecting codes, control engineering, formal language, computer science, and information science
Especially ordered semigroups play a prominent role in mathematics with wide-ranging applications in many disciplines such as control engineering, computer arithmetics, coding theory, sequential machines, and formal languages
Summary
Algebraic structures play a prominent role in mathematics with wide-ranging applications in. Especially ordered semigroups play a prominent role in mathematics with wide-ranging applications in many disciplines such as control engineering, computer arithmetics, coding theory, sequential machines, and formal languages. A non-empty subset A of S is called an interior ideal of S if (1) SAS ⊆ A. Right, interior) ideals in ordered AG-groupoids, basically, an ordered AGgroupoid is non-commutative and non-associative ordered semigroup. In this present paper, we characterize regular Right regular, left regular, (2, 2) -regular, weakly regular, and intra-regular) ordered AGgroupoids in terms of fuzzy left The concept of fuzzy (interior, two-sided) ideals coincide in ((2, 2) left, intra-) regular ordered AGgroupoids with left identity
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