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…
Amalgamation in classes of involutive commutative residuated lattices
Sándor Jenei
We study amalgamation in odd and even involutive commutative residuated chains through their categorical representation by bunches of linearly ordered abelian groups. The represent…
Group-like Uninorms
Sándor Jenei
Uninorms play a prominent role both in the theory and the applications of Aggregations and Fuzzy Logic. In this paper the class of group-like uninorms is introduced and characteriz…
Involutive uninorm logic with fixed point enjoys finite strong standard completeness
Sándor Jenei
An algebraic proof is presented for the finite strong standard completeness of involutive uninorm logic with fixed point. The result may provide a first step towards settling the o…
Group representation for even and odd involutive commutative residuated chains
Sándor Jenei
For odd and for even involutive, commutative residuated chains a representation theorem is presented in this paper by means of direct systems of abelian o-groups equipped with furt…
The Hahn embedding theorem for a class of residuated semigroups
Sándor Jenei
Hahn's embedding theorem asserts that linearly ordered abelian groups embed in some lexicographic product of real groups. Hahn's theorem is generalized to a class of residuated sem…