English

Handle element on nearly Frobenius algebras

Rings and Algebras 2023-08-25 v1

Abstract

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 in this case and many examples will be constructed. Also the Casimir and Schur elements of symmetric algebras will be considered ([8]) and generalized for Frobenius and nearly Frobenius algebras showing which results still hold in this framework and which ones fail.

Keywords

Cite

@article{arxiv.2308.12848,
  title  = {Handle element on nearly Frobenius algebras},
  author = {Dalia Artenstein and Ana González and Gustavo Mata},
  journal= {arXiv preprint arXiv:2308.12848},
  year   = {2023}
}

Comments

20 pages, 1 figure