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pro vyhledávání: '"A, Artenstein"'
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 by the elements of S, graded by the number of leaves of a tree. We sh
Externí odkaz:
http://arxiv.org/abs/2401.01890
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 cohomology. Then, we prove that the cup product is zero in positive degrees
Externí odkaz:
http://arxiv.org/abs/2312.14699
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
Externí odkaz:
http://arxiv.org/abs/2308.12848
Publikováno v:
In Journal of Algebra 15 September 2024 654:108-131
This article is divided into two parts. In the first part we work over a field $\mathbb{k}$ and prove that the Frobenius space associated to a Frobenius algebra is generated as left A-module by the Frobenius coproduct. In particular, we prove that th
Externí odkaz:
http://arxiv.org/abs/2011.09790
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 determine the Frobenius dimension of the product and tensor product of
Externí odkaz:
http://arxiv.org/abs/1903.12512
We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of describing the Lie algebra structure of the first Hochschil
Externí odkaz:
http://arxiv.org/abs/1803.10310
In this article we continue with the study started in [1] of nearly Frobenius structures in some representative families of finite dimensional algebras, as the radical square zero algebras, string algebras and the toupie algebras. We prove that the r
Externí odkaz:
http://arxiv.org/abs/1705.10222
In the first part we study nearly Frobenius algebras. The concept of nearly Frobenius algebras is a generalization of the concept of Frobenius algebras. Nearly Frobenius algebras do not have traces, nor they are self-dual. We prove that the known con
Externí odkaz:
http://arxiv.org/abs/1306.3964
Autor:
Andrew W. Artenstein, Sarah Haessler
Publikováno v:
Ciottone's Disaster Medicine ISBN: 9780323809320
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59a938e6bfe69658fd43968a0ec6f122
https://doi.org/10.1016/b978-0-323-80932-0.00082-3
https://doi.org/10.1016/b978-0-323-80932-0.00082-3