14 citations · 27 across the 7 of their papers we have counts for
7 papers
Algebraic constructions for Jacobi-Jordan algebras
A. L. Agore, G. Militaru
For a given Jacobi-Jordan algebra and a vector space over a field , a non-abelian cohomological type object is constructed: it classi…
Bicrossed products with the Taft algebra
A. L. Agore, L. Nastasescu
Let be a group which admits a generating set consisting of finite order elements. We prove that any Hopf algebra which factorizes through the Taft algebra and the group Hopf al…
Classifying bicrossed products of two Taft algebras
A. L. Agore
We classify all Hopf algebras which factorize through two Taft algebras and respectively . To start with, all possible matched pairs bet…
Hochschild products and global non-abelian cohomology for algebras. Applications
A. L. Agore, G. Militaru
Let be a unital associative algebra over a field , a vector space and a surjective linear map with . All algebra structures on such t…
Free Poisson Hopf algebras generated by coalgebras
A. L. Agore
We construct the analogue of Takeuchi's free Hopf algebra in the setting of Poisson Hopf algebras. More precisely, we prove that there exists a free Poisson Hopf algebra on any coa…
Classifying complements for associative algebras
A. L. Agore
For a given extension of associative algebras we describe and classify up to an isomorphism all -complements of , i.e. all subalgebras of such that $E =…
Extending structures, Galois groups and supersolvable associative algebras
A. L. Agore, G. Militaru
Let be a unital associative algebra over a field . All unital associative algebras containing as a subalgebra of a given codimension are described and cla…