The structure of commutative ideal semigroups.
The structure of idempotent residuated chains
In this paper we study some special residuated lattices, namely, idempotent residuated chains. After giving some properties of Green’s relation on the monoid reduct of an idempotent residuated chain, we establish a structure theorem for idempotent residuated chains. As an application, we give necessary and sufficient conditions for a band with an identity to be the monoid reduct of some idempotent residuated chain. Finally, based on the structure theorem for idempotent residuated chains, we obtain...
The structure of left C-rpp semigroups.
The structure of Morita dual monoids.
The structure of orthodox unions of groups.
The structure of P-regular semigroups.
The structure of regular semigroups, I: A representation.
The structure of regular semigroups, II: Cross connections.
The structure of regular semigroups, III: The reduced case.
The structure of regular semigroups, IV: The general case.
The structure of the automorphism group of a Croisot-Tessier semigroup.
The structure of the centralizer of a permutation.
The structure of the minimum group kernel of a regular semigroup
The structure of type A semigroups.
The Structure of ...-unipotent semigroups.
The structure of w-regular semigroups.
The structure of -regular semigroups
The syntactic monoid of a hypercode.
The system of idempotents of a regular semigroup
The tame degree and related invariants of non-unique factorizations
Local tameness and the finiteness of the catenary degree are two crucial finiteness conditions in the theory of non-unique factorizations in monoids and integral domains. In this note, we refine the notion of local tameness and relate the resulting invariants with the usual tame degree and the -invariant. Finally we present a simple monoid which fails to be locally tame and yet has nice factorization properties.