Hereditary endomorphism monoids of projective acts.
Hereditary torsion classes of S-systems.
Homology of gaussian groups
We describe new combinatorial methods for constructing explicit free resolutions of by -modules when is a group of fractions of a monoid where enough lest common multiples exist (“locally Gaussian monoid”), and therefore, for computing the homology of . Our constructions apply in particular to all Artin-Tits groups of finite Coexter type. Technically, the proofs rely on the properties of least common multiples in a monoid.
Idempotent-separating extensions of regular semigroups.
Injective hulls of S-systems over a Clifford semigroup.
Isomorphisms of wreath products of monoids.
Isomorphisms of wreath products of monoids, I.
Monoid varieties defined by xn+1 = ... are local.
Monoids characterized by their quasi-injective S-systems.
Monoids over which all flat cyclic right acts are strongly flat.
Monoids over which all regular left acts are flat.
Morita duality for monoids.
Morita Equivalence of Monoids.
Multiplicative closed maps on the set of S-subsets of an S-set.
On 0-homology of categorical at zero semigroups
The isomorphism of 0-homology groups of a categorical at zero semigroup and homology groups of its 0-reflector is proved. Some applications of 0-homology to Eilenberg-MacLane homology of semigroups are given.
On a pull-back diagram for orthodox semigroups.
On equalizer-flat and pullback-flat acts.
On exactness of long sequences of homology semimodules.
On factor S-sets of monoids modulo submonoids.
On homological classification of pomonoids by GP-po-flatness ofS-posets
In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness. Furthermore, we investigate the homological classification problems of pomonoids by using this new property. Finally, we consider direct products of GP-po-flat S-posets. As an application, characterizations of pomonoids over which direct products of nonempty families of principally weakly po-flat S-posets are principally weakly po-flat...