Zobrazeno 1 - 10
of 371
pro vyhledávání: '"16S10"'
Under the common theme of splitting of operations, the notions of (tri)dendriform algebras, pre-Lie algebras and post-Lie algebras have attracted sustained attention with broad applications. An important aspect of their studies is as the derived stru
Externí odkaz:
http://arxiv.org/abs/2412.08001
The $\lambda$-differential operators and modified $\lambda$-differential operators are generalizations of classical differential operators. This paper introduces the notions of $\lambda$-differential Poisson ($\lambda$-DP for short) algebras and modi
Externí odkaz:
http://arxiv.org/abs/2411.03046
This paper introduces algebraic structures for Volterra integral operators with separable kernels, in the style of differential algebra for derivations and Rota-Baxter algebra for operators with kernels dependent solely on a dummy variable. We demons
Externí odkaz:
http://arxiv.org/abs/2411.02633
Autor:
Chen, Zhenxian, Xi, Changchang
We show that the Terwilliger algebra of a quasi-thin association scheme over a field is always a quasi-hereditary cellular algebra in the sense of Cline-Parshall-Scott and of Graham-Lehrer, repsectively, and that the basic algebra of the Terwilliger
Externí odkaz:
http://arxiv.org/abs/2410.21600
Autor:
Chirvasitu, Alexandru
We prove that there exist Hopf algebras with surjective, non-bijective antipode which admit no non-trivial morphisms from Hopf algebras with bijective antipode; in particular, they are not quotients of such. This answers a question left open in prior
Externí odkaz:
http://arxiv.org/abs/2408.08167
Autor:
Khrypchenko, Mykola
Publikováno v:
Communications in Mathematics, Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar) (November 20, 2024) cm:13990
We describe $\sigma$-matching, interchangeable and, as a consequence, totally compatible products on some classes of associative algebras, including unital algebras, the semigroup algebras of rectangular bands, algebras with enough idempotents, free
Externí odkaz:
http://arxiv.org/abs/2407.18734
Autor:
Cheng, Zhiyun, Lei, Ziyi
In this article, we concern the concept of nearly Frobenius algebra, which corresponds to most 2D-TQFT of which each cobordism admits no critical points of index 0 or 2. We prove that any nearly Frobenius algebra over a principal ideal domain with su
Externí odkaz:
http://arxiv.org/abs/2406.10575
In this paper, we first introduce a weighted derivation on algebras over an operad $\cal P$, and prove that for the free $\cal P$-algebra, its weighted derivation is determined by the restriction on the generators. As applications, we propose the con
Externí odkaz:
http://arxiv.org/abs/2406.12871
Autor:
Liu, Jiaqi, Zhang, Yuanyuan
In this paper, we first propose the concepts of BiHom-$\Omega$-associative algebras, BiHom-$\Omega$-dendriform algebras, BiHom-$\Omega$-pre-Lie algebras and BiHom-$\Omega$-Lie algebras. We then obtain a new BiHom-$\Omega$-associative (resp. Lie) alge
Externí odkaz:
http://arxiv.org/abs/2404.09176
Autor:
Gonçalves, Daniel, Royer, Danilo
We introduce the concept of "irrational paths" for a given subshift and use it to characterize all minimal left ideals in the associated unital subshift algebra. Consequently, we characterize the socle as the sum of the ideals generated by irrational
Externí odkaz:
http://arxiv.org/abs/2403.18806