Frobenius and separable functors for the category of entwined modules over cowreaths, I: General theory
Entwined modules over cowreaths in a monoidal category are introduced. They can be
identified to coalgebras in an appropriate monoidal category. It is investigated when such …
identified to coalgebras in an appropriate monoidal category. It is investigated when such …
Double wreath quasi-Hopf algebras
D Bulacu, D Popescu, B Torrecillas - Journal of Algebra, 2024 - Elsevier
For a quasi-bialgebra H, we show that the category C of H-bimodules is duoidal and that the
so called u-coaugmented bimonoids in C are exactly the quasi-bialgebras with a coalgebra …
so called u-coaugmented bimonoids in C are exactly the quasi-bialgebras with a coalgebra …
Invertible unital bimodules over rings with local units, and related exact sequences of groups, II
L El Kaoutit, J Gómez-Torrecillas - Journal of Algebra, 2012 - Elsevier
Let R be a ring with a set of local units, and a homomorphism of groups Θ̲: G→ Pic (R) to
the Picard group of R. We study under which conditions Θ̲ is determined by a factor map …
the Picard group of R. We study under which conditions Θ̲ is determined by a factor map …
Invertible unital bimodules over rings with local units, and related exact sequences of groups
L El Kaoutit, J Gómez-Torrecillas - Journal of Algebra, 2010 - Elsevier
Invertible unital bimodules over rings with local units, and related exact sequences of
groups Page 1 Journal of Algebra 323 (2010) 224–240 Contents lists available at …
groups Page 1 Journal of Algebra 323 (2010) 224–240 Contents lists available at …
Partial generalized crossed products and a seven term exact sequence (expanded version)
M Dokuchaev, I Rocha - arXiv preprint arXiv:2105.01268, 2021 - arxiv.org
Given a non-necessarily commutative unital ring $ R $ and a unital partial representation
$\Theta $ of a group $ G $ into the Picard semigroup $\mathbf {PicS}(R) $ of the …
$\Theta $ of a group $ G $ into the Picard semigroup $\mathbf {PicS}(R) $ of the …
Lifting theorems for tensor functors on module categories
R Wisbauer - Journal of Algebra and its Applications, 2011 - World Scientific
Any (co) ring R is an endofunctor with (co) multiplication on the category of abelian groups.
These notions were generalized to monads and comonads on arbitrary categories. Starting …
These notions were generalized to monads and comonads on arbitrary categories. Starting …
Partial generalized crossed products and a seven term exact sequence
M Dokuchaev, I Rocha - Journal of Pure and Applied Algebra, 2024 - Elsevier
Given a non-necessarily commutative unital ring R and a unital partial representation Θ of a
group G into the Picard semigroup PicS (R) of the isomorphism classes of partially invertible …
group G into the Picard semigroup PicS (R) of the isomorphism classes of partially invertible …
Uma sequência exata relacionada a uma extensão de anéis e uma representação parcial
JI Rocha - 2017 - teses.usp.br
Para uma extensão de Galois de anéis comutativos, Chase-Harrison-Rosenberg
construíram uma sequência exata de sete termos que envolve o grupo de Picard, o grupo …
construíram uma sequência exata de sete termos que envolve o grupo de Picard, o grupo …
Morita base change in Hopf-cyclic (co) homology
L El Kaoutit, N Kowalzig - Letters in Mathematical Physics, 2013 - Springer
In this paper, we establish the invariance of cyclic (co) homology of left Hopf algebroids
under the change of Morita equivalent base algebras. The classical result on Morita …
under the change of Morita equivalent base algebras. The classical result on Morita …
[PDF][PDF] Internal Kleisli categories
T Brzeziński, AV Marquez - arXiv preprint arXiv:0911.4048, 2009 - arxiv.org
arXiv:0911.4048v1 [math.CT] 20 Nov 2009 Page 1 arXiv:0911.4048v1 [math.CT] 20 Nov 2009
Internal Kleisli categories Tomasz Brzezinski and Adrian Vazquez Marquez Abstract. A …
Internal Kleisli categories Tomasz Brzezinski and Adrian Vazquez Marquez Abstract. A …