43 citations · 330 across the 44 of their papers we have counts for
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Globalization of partial cohomology of groups
Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón
We study the relations between partial and global group cohomology with values in a commutative unital ring . In particular, for a unital partial action of a group …
Partial cohomology of groups and extensions of semilattices of abelian groups
Mikhailo Dokuchaev, Mykola Khrypchenko
We extend the notion of a partial cohomology group to the case of non-unital and find interpretations of and in the theory of extensions of sem…
Local Derivations of Finitary Incidence Algebras
Mykola Khrypchenko
Let be a partially ordered set, a commutative ring with identity and the finitary incidence algebra of over . In this note we prove that each -linear lo…
Partial actions and an embedding theorem for inverse semigroups
Mykola Khrypchenko
We give a simple construction involving partial actions which permits us to obtain an easy proof of a weakened version of L. O'Carroll's theorem on idempotent pure extensions of in…
Jordan Isomorphisms of Finitary Incidence Algebras
Rosali Brusamarello, Érica Z. Fornaroli, Mykola Khrypchenko
Let be a partially ordered set, a commutative -torsionfree unital ring and the finitary incidence algebra of over . In this note we prove that each -…