9 citations · 13 across the 9 of their papers we have counts for
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math.RA2025
Frobenius reciprocity, modular connections, lattice isomorphism theorem and abstract principal ideals
Amartya Goswami, Zurab Janelidze, Graham Manuell
The purpose of this short note is to fill a gap in the literature: Frobenius reciprocity in the theory of doctrines is closely related to modular connections in projective homologi…
math.RA2024
The Case for Inverse Semirings
Peter F. Faul, Amartya Goswami, Gideo Joubert +1
A semiring generalises the notion of a ring, replacing the additive abelian group structure with that of a commutative monoid. In this paper, we study a notion positioned between a…
math.RA2020★ 3 cited
Quotients of monoid extensions and their interplay with Baer sums
Peter Faul, Graham Manuell
Cosetal extensions of monoids generalise extensions of groups, special Schreier extensions of monoids and Leech's normal extensions of groups by monoids. They share a number of pro…