Free Rota-Baxter systems and a Hopf algebra structure
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Algebra"
DOI: 10.1080/00927872.2018.1427246
Abstract: ABSTRACT In this paper, we give a linear basis of a free Rota-Baxter system on a set by using the Gröbner-Shirshov bases method and then we obtain a Hopf algebra structure on a free Rota-Baxter… read more here.
Keywords: algebra structure; free rota; rota baxter; hopf algebra ... See more keywords
G-Algebra Structure on the Higher Order Hochschild Cohomology HS2∗(A,A)
Sign Up to like & getrecommendations! Published in 2022 at "Algebra Colloquium"
DOI: 10.1142/s1005386722000098
Abstract: We present a deformation theory associated to the higher Hochschild cohomology [Formula: see text]. We also study a [Formula: see text]-algebra structure associated to this deformation theory. read more here.
Keywords: hochschild cohomology; structure higher; algebra structure;
$C^*$ -algebra structure on certain Banach algebra products
Sign Up to like & getrecommendations! Published in 2020 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439520000740
Abstract: Abstract Let $\mathcal A$ and $\mathcal B$ be commutative and semisimple Banach algebras and let $\theta \in \Delta (\mathcal B)$ . In this paper, we prove that $\mathcal A\times _{\theta }\mathcal B$ is a type… read more here.
Keywords: mathcal mathcal; banach; algebra structure; certain banach ... See more keywords