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math.RA2026
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…
math.RA2026
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)=…