caa a22 4500 445345101 CHVBK 20180317142826.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00233-011-9308-8 doi (NATIONALLICENCE)springer-10.1007/s00233-011-9308-8 Pasku Elton Departamenti i Matematikës, Fakulteti i Shkencave të Natyrës, Universiteti i Tiranës, Tiranë, Albania aut Clifford semigroups as functors and their cohomology [Elektronische Daten] [Elton Pasku] We prove that the category of Clifford semigroups and prehomomorphisms $\mathcal{CSP}$ is isomorphic to a certain subcategory of the category of diagrams over groups. Under this isomorphism, Clifford semigroups are identified with certain functors. As an application of the isomorphism theorem, we show that the category with objects commutative inverse semigroups having the same semilattice of idempotents and with morphisms, the inverse semigroup homomorphisms that fix the semilattice, imbeds into a category of right modules over a certain ring. Also we find a very close relationship between the cohomology groups of a commutative inverse monoid and the cohomology groups of the colimit group of the functor giving the monoid. Springer Science+Business Media, LLC, 2011 Clifford semigroups nationallicence Semilattice nationallicence Cohomology nationallicence Maximum group image nationallicence Semigroup Forum Springer-Verlag 83/1(2011-08-01), 75-88 0037-1912 83:1<75 2011 83 233 https://doi.org/10.1007/s00233-011-9308-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-011-9308-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pasku Elton Departamenti i Matematikës, Fakulteti i Shkencave të Natyrës, Universiteti i Tiranës, Tiranë, Albania aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 83/1(2011-08-01), 75-88 0037-1912 83:1<75 2011 83 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer