2025/04/28 by Haag, Rafael, Lautenschlaeger, Wesley G., Tamusiunas, Thaísa · 1 citation
#18A05 #18B40 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2504.20217
We introduce the concept of a restriction semigroupoid S, which unifies the notion of restriction semigroups and restriction categories within a single structure. We prove a representation theorem, showing that every restriction semigroupoid can be embedded into a determined category of partial maps. Furthermore, we construct the Szendrei expansion Sz(S) of S and establish that each premorphism between two restriction semigroupoids S and T is uniquely factorized by a morphism between the Szendrei expansion Sz(S) and T.