Annals of Communications in Mathematics

AbstractIn this article, we define the concept of Pythagorean Q-anti neutrosophic ideal in gamma semigroup, Pythagorean Q-anti neutrosophic bi-ideal in gamma semigroup, and Pythagorean Q-anti neutrosophic interior ideal in gamma semigroup. We have illustrated the definition with an example. We have shown that Pythagorean Q- anti neutrosophic bi-ideal is a fuzzy bi-ideal and Pythagorean Q-anti neutrosophic ideal is a Pythagorean Q-anti neutrosophic interior ideal. Also, we have established some of its properties in detail.

AbstractIn this paper, we introduce the notion of Pythagorean cubic ideal in semigroup. Also, we discuss some of their properties with examples.

AbstractIn this paper, we define the notions of Pythagorean fuzzy ideal of subtraction semigroup and near subtraction semigroup. Also, we discuss some of its properties with examples.

AbstractThe aim of the present paper is to define and bring together the fundamental definitions such as relative hyperideals, relative bi-hyperideals, relative quasi-hyperideals, relative prime hyperideals, relative weakly prime hyperideals, relative semiprime hyperideals, relative prime and relative semiprime bi-hyperideals, and hyper relative regularity of dynamic algebraic character to develop the theory of hypersemigroups, and obtain the results relating to and connecting these hyperideal-theoretic definitions of this vast theory to the larger framework of the algebraic area of ordered hypersemigroups as well as of involution ordered hypersemigroups.