On ideals in quantales--I
A Goswami - arXiv preprint arXiv:2308.03069, 2023 - arxiv.org
Taking a ring-theoretic perspective as our motivation, the main aim of this series is to
establish a comprehensive theory of ideals in commutative quantales with an identity …
establish a comprehensive theory of ideals in commutative quantales with an identity …
Topological properties of some classes of submodules
A Goswami - arXiv preprint arXiv:2304.07692, 2023 - arxiv.org
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 …
subclasses and call them structure spaces. We give several criteria for the quasi …
[PDF][PDF] Spectral spaces of normal subgroups
A Goswami - arXiv preprint arXiv:2501.00845, 2025 - arxiv.org
arXiv:2501.00845v1 [math.GR] 1 Jan 2025 Page 1 arXiv:2501.00845v1 [math.GR] 1 Jan 2025
SPECTRAL SPACES OF NORMAL SUBGROUPS AMARTYA GOSWAMI ABSTRACT. The aim …
SPECTRAL SPACES OF NORMAL SUBGROUPS AMARTYA GOSWAMI ABSTRACT. The aim …
Lower spaces of multiplicative lattices
A Goswami - Bollettino dell'Unione Matematica Italiana, 2024 - Springer
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 is …
coarse lower topologies, and call them lower spaces. The primary objective of this paper is …
Normal structure spaces of groups
A Goswami - Rendiconti del Circolo Matematico di Palermo Series 2, 2023 - Springer
Can we do a topological study of various classes of normal subgroups endowed with a hull-
kernel-type topology? In this paper, we have provided an answer to this question. We have …
kernel-type topology? In this paper, we have provided an answer to this question. We have …
Iséki spaces of semirings
A Goswami - Bollettino dell'Unione Matematica Italiana, 2023 - Springer
The aim of this paper is to study Iséki spaces of distinguished classes of ideals of a semiring
endowed with a topology. We show that every Iséki space is quasi-compact whenever the …
endowed with a topology. We show that every Iséki space is quasi-compact whenever the …