Table of Content
involution
Open AccessArticleOn some relative weakly hyperideals and relative prime bi-hyperideals in ordered hypersemigroups and in involution ordered hypersemigroups
Abul Basar
Annals of Communications in Mathematics 2020,
3 (1),
63-79
DOI: https://doi.org/10.62072/acm.2020.030107
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.
Open AccessArticleExploring Ideals of Semiring with Involution
M. Murali Krishna Rao and Noorbhasha Rafi*
Annals of Communications in Mathematics 2025,
8 (3),
379-385
DOI: https://doi.org/10.62072/acm.2025.080304
ABSTRACT. In this paper, we introduce the notion of involution in semirings. We define bi-ideal, quasi ideal, interior ideal, bi-quasi interior ideal, and bi-interior ideals of semirings with involution and study their properties.