A. Agore

activity

20072026

most citedUnified products for Leibniz algebras. Applications

33 citations · 238 across the 41 of their papers we have counts for

collaborators

Showing 2012Show all

8 papers · 1 filter

math.QA2012

The uniqueness of braidings on the monoidal category of non-commutative descent data

A. L. Agore, S. Caenepeel, G. Militaru

Let $A$ be an algebra over a commutative ring $k$ . It is known that the categories of non-commutative descent data, of comodules over the Sweedler canonical coring, of right $A$ -mo…

math.RA2012

The Classification of All Crossed Products $H_{4} # k [C_{n}]$

Ana-Loredana Agore, Costel-Gabriel Bontea, Gigel Militaru

Using the computational approach introduced in [Agore A.L., Bontea C.G., Militaru G., J. Algebra Appl. 12 (2013), 1250227, 24 pages, arXiv:1207.0411] we classify all coalgebra spli…

math.QA2012

Classifying coalgebra split extensions of Hopf algebras

A. L. Agore, C. G. Bontea, G. Militaru

For a given Hopf algebra $A$ we classify all Hopf algebras $E$ that are coalgebra split extensions of $A$ by $H_{4}$ , where $H_{4}$ is the Sweedler's 4-dimensional Hopf algebra. Equiva…

math.QA2012★ 26 cited

Classifying complements for Hopf algebras and Lie algebras

A. L. Agore, G. Militaru

Let $A \subseteq E$ be a given extension of Hopf (respectively Lie) algebras. We answer the \emph{classifying complements problem} (CCP) which consists of describing and classifyin…

math.QA2012★ 15 cited

Classifying bicrossed products of Hopf algebras

A. L. Agore, C. G. Bontea, G. Militaru

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 ob…

math.GR2012★ 2 cited

Classifying complements for groups. Applications

A. L. Agore, G. Militaru

Let $A \leq G$ be a subgroup of a group $G$ . An $A$ -complement of $G$ is a subgroup $H$ of $G$ such that $G = A H$ and $A \cap H = {1}$ . The \emph{classifying complements problem…

math.QA2012★ 2 cited

Coquasitriangular structures for extensions of Hopf algebras. Applications

A. L. Agore

Let $A \subseteq E$ be an extension of Hopf algebras such that there exists a normal left $A$ -module coalgebra map $π : E \to A$ that splits the inclusion. We shall describe the set…

math.QA2012★ 7 cited

Crossed product of Hopf algebras