Amartya Goswami

collaborators

5 papers

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…

math.RA2023

Topological properties of some classes of submodules

Amartya Goswami

We study the topology of a class of proper submodules and some of its distinguished subclasses and call them structure spaces. We give several criteria for the quasi-compactness of…

math.RA2023

Some aspects of $k$ -ideals of semirings

Themba Dube, Amartya Goswami

The aim of this paper is to study some distinguished classes of $k$ -ideals of semirings, which include $k$ -prime, $k$ -semiprime, $k$ -radical, $k$ -irreducible, and $k$ -strongly irre…

math.RA2023

Subtractive spaces of semirings

Amartya Goswami

Using the closure operator that defines a subtractive ideal of a semiring $S$ , in this note we introduce a topology on the set of all ideals of $S$ induced by that operator. We sho…

math.RA2023

Some classes of subsemimodule spaces

Amartya Goswami

The aim of this paper is to study the topological properties of some classes of subsemimodules endowed with a subbasis closed-set topology. We show that such spaces are $T_{0}$ . When…

Lower spaces of multiplicative lattices

Topological properties of some classes of submodules

Some aspects of k-ideals of semirings

Subtractive spaces of semirings

Some classes of subsemimodule spaces

Some aspects of $k$ -ideals of semirings