3 papers
math.AC2026
Strong Hollowness in Commutative Rings
Amartya Goswami, Joseph Israel Zelezniak
In this paper we study strongly hollow ideals and completely strongly hollow ideals in commutative rings without finiteness assumptions. We establish basic structural properties, i…
math.RA2025
On hollowness in multiplicative lattices
Amartya Goswami, Joseph Zelezniak
The aim of this article is to extend the notions of strongly hollow and completely strongly hollow ideals of commutative rings to multiplicative lattices. We investigate their basi…
math.RA2024
Lower spaces of multiplicative lattices
Amartya Goswami
We consider some distinguished classes of elements of a multiplicative lattice endowed with coarse lower topologies, and call them lower spaces. The primary objective of this paper…