Recent developments around partial actions
M Dokuchaev - São Paulo Journal of Mathematical Sciences, 2019 - Springer
We give an overview of publications on partial actions and related concepts, paying main
attention to some recent developments on diverse aspects of the theory, such as partial …
attention to some recent developments on diverse aspects of the theory, such as partial …
Geometric partial comodules over flat coalgebras in Abelian categories are globalizable
P Saracco, J Vercruysse - Journal of Pure and Applied Algebra, 2024 - Elsevier
The aim of this paper is to prove the statement in the title. As a by-product, we obtain new
globalization results in cases never considered before, such as partial corepresentations of …
globalization results in cases never considered before, such as partial corepresentations of …
Partial (co) actions of Taft and Nichols Hopf algebras on their base fields
G Fonseca, G Martini, L Silva - International Journal of Algebra and …, 2021 - World Scientific
Partial (co)actions of Taft and Nichols Hopf algebras on their base fields Page 1 International
Journal of Algebra and Computation Vol. 31, No. 7 (2021) 1471–1496 c© World Scientific …
Journal of Algebra and Computation Vol. 31, No. 7 (2021) 1471–1496 c© World Scientific …
Globalization of partial group actions on semiprime Lie algebras and unital Jordan algebras
M Dokuchaev, JLV Rodríguez - Journal of Algebra, 2023 - Elsevier
We give necessary and sufficient conditions for the existence of a semiprime globalization
for a partial group action on a semiprime Lie algebra L, and with an additional reasonable …
for a partial group action on a semiprime Lie algebra L, and with an additional reasonable …
Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra
G Martini, A Paques, LD Silva - Journal of Algebra and Its …, 2023 - World Scientific
In this paper, we introduce the concept of a λ-Hopf algebra as a Hopf algebra obtained as
the partial smash product algebra of a Hopf algebra and its base field, and show that every …
the partial smash product algebra of a Hopf algebra and its base field, and show that every …
(Co) homology of partial smash products
M Dokuchaev, E Jerez - Journal of Algebra, 2024 - Elsevier
Given a cocommutative Hopf algebra H over a commutative ring K and a symmetric partial
action of H on a K-algebra A, we obtain a first quadrant Grothendieck spectral sequence …
action of H on a K-algebra A, we obtain a first quadrant Grothendieck spectral sequence …
Partial actions of weak Hopf algebras on coalgebras
E Fontes, G Martini, G Fonseca - Journal of Algebra and Its …, 2022 - World Scientific
In this work, the notions of a partial action of a weak Hopf algebra on a coalgebra and of a
partial action of a groupoid on a coalgebra will be introduced, together with some important …
partial action of a groupoid on a coalgebra will be introduced, together with some important …
Partial Hopf–Galois theory
Partial Hopf–Galois Theory | Algebra and Logic Skip to main content SpringerLink Account
Menu Find a journal Publish with us Track your research Search Cart 1.Home 2.Algebra and …
Menu Find a journal Publish with us Track your research Search Cart 1.Home 2.Algebra and …
Weak Hopf algebras arising from weak matched pairs
G Fonseca, G Martini, L Silva - arXiv preprint arXiv:2408.05181, 2024 - arxiv.org
This work extends the idea of matched pairs presented by Majid in\cite {Majid} and Takeuchi
in\cite {Takeuchi} for the context of weak bialgebras and weak Hopf algebras. We introduce …
in\cite {Takeuchi} for the context of weak bialgebras and weak Hopf algebras. We introduce …
Hopf algebras arising from partial (co) actions
D Azevedo, G Martini, A Paques… - Journal of Algebra and Its …, 2021 - World Scientific
In this paper, extending the idea presented by Takeuchi in [M. Takeuchi, Matched pairs of
groups and bismash products of Hopf algebras, Comm. Algebra 9 (1981) 841–882.] and …
groups and bismash products of Hopf algebras, Comm. Algebra 9 (1981) 841–882.] and …