13 citations · 13 across the 6 of their papers we have counts for
11 papers
Canonical resolved-transport decomposition and reconstruction of local-unit-aligned ordered semigroups
Sándor Jenei
This paper develops a canonical decomposition and reconstruction theory for local-unit-aligned ordered semigroups. Two coherentizations of the positive-idempotent skeleton are intr…
A canonical rigid direct-system representation of finite local-unit-aligned totally ordered monoids
Sándor Jenei
We study finite local-unit-aligned totally ordered monoids, that is, finite totally ordered monoids in which each element has coinciding greatest right and left local units. We pro…
Categorical forms of the rigid direct-system representation for finite local-unit-aligned totally ordered monoids
Sándor Jenei
We study the functorial and categorical structure of the canonical rigid direct-system representation of finite local-unit-aligned totally ordered monoids. The local-unit map i…
Residual coherentization of balanced residuated partially ordered semigroups
Sándor Jenei
This paper develops a canonical decomposition--reconstruction theory for balanced residuated partially ordered semigroups. The starting point is the intrinsic local-unit map $τ(x)=…
Densification in classes of involutive commutative residuated lattices
Sándor Jenei
The representation theorem for odd or even involutive FLe-chains by bunches of layer groups, as discussed in [10], is redefined to demonstrate a more straightforward constructional…
A categorical equivalence for odd or even involutive FL-chains
Sándor Jenei
We exhibit a categorical equivalence between the class of odd or even involutive FL-chains and a class of direct systems of abelian -groups. Restricting this equivalence onl…