9 papers
Bounds on Frobenius dimension
D. Artenstein, J. Cóppola, J. Finot +2
In this article, we prove two types of results about the Frobenius dimension of associative algebras. First, we refine the known upper bound for the Frobenius dimension of a finite…
Primitive elements in infinitesimal bialgebras
Dalia Artenstein, Ana González, María Ronco
For any set S, the free magmatic algebra spanned by card(S) binary products is the vector space spanned by the set of all planar rooted binary trees with the internal nodes colored…
The Hochschild cohomology ring of monomial algebras
Dalia Artenstein, Janina C. Letz, Amrei Oswald +1
We give an explicit description of a diagonal map on the Bardzell resolution for any monomial algebra, and we use this diagonal map to describe the cup product on Hochschild cohomo…
Handle element on nearly Frobenius algebras
Dalia Artenstein, Ana González, Gustavo Mata
In this article the concept of handle element of Frobenius algebras, as in [16], will be extended to nearly Frobenius algebras. The main properties of this element will be analyzed…
Nearly Frobenius dimension on Frobenius algebras
Dalia Artenstein, Ana González, Gustavo Mata
This article is divided into two parts. In the first part we work over a field and prove that the Frobenius space associated to a Frobenius algebra is generated as lef…
Nearly Frobenius theory and semisimplicity of bimodules
Dalia Artenstein, Ana González, Gustavo Mata
In the first part of this article we prove that one of the conditions required in the original definition of nearly Frobenius algebra, the coassociativity, is redundant. Also, we d…