[PDF][PDF] Monads of effective descent type and comonadicity
B Mesablishvili - Theory Appl. Categ, 2006 - emis.icm.edu.pl
We show, for an arbitrary adjunction F⊢ U: B→ A with B Cauchy complete, that the functor F
is comonadic if and only if the monad T on A induced by the adjunction is of effective …
is comonadic if and only if the monad T on A induced by the adjunction is of effective …
Comodules and corings
T Brzeziński - Handbook of algebra, 2009 - Elsevier
Publisher Summary A coring is one of the most basic algebraic structures dual to that of a
ring (but also a ring itself can be viewed as a coring). The notion of a coring appeared first in …
ring (but also a ring itself can be viewed as a coring). The notion of a coring appeared first in …
A bicategorical version of Masuoka's theorem
J Gómez-Torrecillas, B Mesablishvili - Algebras and representation theory, 2012 - Springer
We give a bicategorical version of the main result of Masuoka (Tsukuba J Math 13: 353–362,
1989) which proposes a non-commutative version of the fact that for a faithfully flat extension …
1989) which proposes a non-commutative version of the fact that for a faithfully flat extension …
Comonadicity and invertible bimodules
B Mesablishvili - Journal of Algebra, 2007 - Elsevier
The purpose of this paper is to exhibit the main results of A. Masuoka [A. Masuoka, Corings
and invertible bimodules, Tsukuba J. Math. 13 (1989) 353–362] and of L. El Kaoutit and J …
and invertible bimodules, Tsukuba J. Math. 13 (1989) 353–362] and of L. El Kaoutit and J …
Invertible bimodules, Miyashita action in monoidal categories and Azumaya monoids
A Ardizzoni, LE Kaoutit - arXiv preprint arXiv:1307.5983, 2013 - arxiv.org
In this paper we introduce and study Miyashita action in the context of monoidal categories
aiming by this to provide a common framework of previous studies in the literature. We make …
aiming by this to provide a common framework of previous studies in the literature. We make …
Invertible bimodules, Miyashita action in monoidal categories and Azumaya monoids
A Ardizzoni, L El Kaoutit - Nagoya Mathematical Journal, 2017 - cambridge.org
In this paper we introduce and study Miyashita action in the context of monoidal categories
aiming by this to provide a common framework of previous studies in the literature. We make …
aiming by this to provide a common framework of previous studies in the literature. We make …
On a generalization of Grothendieck's theorem
B Mesablishvili - arXiv preprint math/0605470, 2006 - arxiv.org
A wide generalization of the classical theorem of A. Grothendieck asserting that for any
faithfully flat extension of commutative rings, the corresponding relative Picard group and the …
faithfully flat extension of commutative rings, the corresponding relative Picard group and the …