Let A and H be two Hopf algebras. We shall classify up to an isomorphism that stabilizes A
all Hopf algebras E that factorize through A and H by a cohomological type object …

We investigate one question regarding bicrossed products of finite groups which we believe
has the potential of being approachable for other classes of algebraic objects (algebras …

We introduce the notion of non commutative truncated polynomial extension of an algebra A.
We study two families of these extensions. For the first one we obtain a complete …

We find three families of twisting maps of K m with K n, where K is a field, and we make a
detailed study of its properties. One of them is related to truncated quiver algebras, the …

We review several techniques that twist an algebra's multiplicative structure. We first
consider twists by an automorphism, also known as Zhang twists, and we relate them to 2 …

In this thesis, an almost complete classification of all graduated twisted tensorial products of
$ K [x] $ with $ K [y] $ is obtained. We obtain a particular example and three main cases …

Full article: Twisted tensor products of K3 with K3 Skip to Main Content Taylor and Francis Online
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We completely describe by generators and relations and classify all Hopf algebras which
factorize through the Taft algebra $ T_ {m^{2}}(q) $ and the group Hopf algebra $ K [C_ {n}] …

We introduce a common generalization of the LR-smash product and twisted tensor product
of algebras, under the name LR-twisted tensor product of algebras. We investigate some …

We introduce the notion of quantum duplicates of an (associative, unital) algebra, motivated
by the problem of constructing toy-models for quantizations of certain configuration spaces …