3 papers
math.RA2023
Some aspects of -ideals of semirings
Themba Dube, Amartya Goswami
The aim of this paper is to study some distinguished classes of -ideals of semirings, which include -prime, -semiprime, -radical, -irreducible, and -strongly irre…
math.RA2022
Spectral topologies on skew braces
Themba Dube, Amartya Goswami
Using a new definition of a prime ideal of a skew brace A, on set Spec A of prime ideals of A we endow a spectral topology (in the sense of Grothendieck). We characterize irreducib…
math.AC2022
Ideal spaces: An extension of structure spaces of rings
Themba Dube, Amartya Goswami
Can there be a structure space-type theory for an arbitrary class of ideals of a ring? The ideal spaces introduced in this paper allows such a study and our theory includes (but no…