44 citations · 65 across the 19 of their papers we have counts for
8 papers · 1 filter
On set-theoretic solutions of pentagon equation and positive basis Hopf algebras
Ilaria Colazzo, Geoffrey Janssens
We investigate the connection between bijective, not necessarily finite, set-theoretic solutions of the pentagon equation and Hopf algebras. Firstly, we prove that finite solutions…
On integral decomposition of unipotent elements in integral group rings
Geoffrey Janssens, Leo Margolis
Jespers and Sun conjectured that if a finite group has the property ND, i.e. for every nilpotent element in the integral group ring and every primitive centra…
Units of twisted group rings and their correlations to classical group rings
Geoffrey Janssens, Eric Jespers, Ofir Schnabel
This paper is centered around the classical problem of extracting properties of a finite group from the ring isomorphism class of its integral group ring . This p…
Codimension Growth of Lie algebras with a generalized action
Geoffrey Janssens
Let be a finite dimensional Lie -algebra endowed with a generalized action by an associative algebra . We investigate the exponential growth rate of the sequence of -g…
Free products in the unit group of the integral group ring of a finite group
Geoffrey Janssens, Eric Jespers, Doryan Temmerman
Let be a finite group and let be a prime. We continue the search for generic constructions of free products and free monoids in the unit group of…
Semigroup graded algebras and graded PI-exponent
Alexey Gordienko, Geoffrey Janssens, Eric Jespers
Let be a finite semigroup and let be a finite dimensional -graded algebra. We investigate the exponential rate of growth of the sequence of graded codimensions $c_n^S(A)…
The Polynomial Part of the Codimension Growth of Affine PI Algebras
Eli Aljadeff, Geoffrey Janssens, Yakov Karasik
Let be a field of characteristic zero and be an associative affine -algebra satisfying a polynomial identity (PI). The codimension sequence associated to , ,…
-modules and polynomial identities with integer coefficients
Alexey Gordienko, Geoffrey Janssens
We show that, like in the case of algebras over fields, the study of multilinear polynomial identities of unitary rings can be reduced to the study of proper polynomial identities.…