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math.RA2025
On Union of Regular Near-rings
Rajlaxmi Mukherjee, Tuhin Manna, Kamalika Chakraborty +1
'A semigroup is completely regular if and only if it is a union of groups'- an analogue of this structure theorem of completely regular semigroup has been obtained in the setting o…
math.RA2025
Radical-Ideal Functors, a Support Bifibration, and Quantale Completion for Commutative Semirings
Pronay Biswas, Amartya Goswami, Sujit Kumar Sardar
We organize ordinary, subtractive (-), and strong ideal theory of commutative semirings into a functorial framework. Radical extension is left adjoint to contraction and yields…