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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …