3 papers
math.RA2024
Etale spaces of residuated lattices
Saeed Rasouli, Seyed Naser Hosseini, Amin Dehghani
This paper explores the concept of étalé spaces associated with residuated lattices. Notions of bundles and étalés of residuated lattices over a given topological space are introdu…
math.CT2021
Quotients of span categories that are allegories and the representation of regular categories
S. Naser Hosseini, Amir R. Shir Ali Nasab, Walter Tholen +1
We consider the ordinary category Span(C) of (isomorphism classes of) spans of morphisms in a category C with finite limits as needed, composed horizontally via pullback, and give…
math.CT2019
Fraction, Restriction and Range Categories from Non-Monic Classes of Morphisms
S. N. Hosseini, A. R. Shir Ali Nasab, W. Tholen
For a composition-closed and pullback-stable class S of morphisms in a category C containing all isomorphisms, we form the category Span(C,S) of S-spans (s,f) in C with first "leg"…