Table of Content
Ganesh Kumar Reddi
Open AccessArticleFuzzy Bi-Quasi-Interior Ideals of Semirings
M. Murali Krishna Rao, Rajendra Kumar Kona*, Ganesh Kumar Reddi and B. Vineela
Annals of Communications in Mathematics 2025,
8 (3),
410-424
DOI: https://doi.org/10.62072/acm.2025.080308
ABSTRACT. In this paper, we introduce the notion of a fuzzy bi-quasi interior ideal as a generalization of fuzzy ideals, fuzzy bi-quasi ideals, fuzzy quasi-interior ideals and fuzzy bi-interior ideals of a semiring. We prove that every fuzzy right quasi-interior ideal of a semiring is a fuzzy bi-quasi interior ideal and a fuzzy bi-quasi interior ideal is a fuzzy right tri-ideal of a semiring. We characterize the regular semiring in terms of fuzzy bi-quasi interior ideals and study some of the properties.
Open AccessArticleA Study on Quasi-Interior Hyperideals in Hypersemigroups
M. Murali Krishna Rao, Rajendra Kumar Kona*, Ganesh Kumar Reddi and B. Vineela
Annals of Communications in Mathematics 2026,
9(2),
7
DOI: https://doi.org/10.62072/acm.2026.09023
AbstractThe Hilbert integral inequality is a well-known and widely studied result in analysis that has inspired many refinements and modifications. In this paper, we present a new logarithmic modification of this inequality. Our approach is based on a trigonometric method that offers a fresh perspective on existing standard techniques. As a consequence, we also derive another integral inequality. All arguments are presented in full detail.