
TL;DR
This paper introduces various new classes of UP-semigroups, expanding the algebraic framework related to UP-algebras and providing foundational examples for these structures.
Contribution
It defines multiple new UP-semigroup classes and provides examples, broadening the understanding of algebraic structures related to UP-algebras.
Findings
Defined numerous new UP-semigroup classes
Provided examples for each new class
Expanded the algebraic framework of UP-structures
Abstract
In this paper, we introduce some new classes of algebras related to UP-algebras and semigroups, called a left UP-semigroup, a right UP-semigroup, a fully UP-semigroup, a left-left UP-semigroup, a right-left UP-semigroup, a left-right UP-semigroup, a right-right UP-semigroup, a fully-left UP-semigroup, a fully-right UP-semigroup, a left-fully UP-semigroup, a right-fully UP-semigroup, a fully-fully UP-semigroup, and find their examples.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Optimization and Search Problems · semigroups and automata theory
