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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.GR2024
The Reverse Representation Problem
Peter F. Faul, Zurab Janelideze, Gideo Joubert
Cayley's theorem tells us that all groups occur as subgroups of the group of automorphisms over some set . In this paper we consider a `sort-of' converse to this qu…