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pro vyhledávání: '"Palma, Carlos Arturo Rodriguez"'
Publikováno v:
Communications in Mathematics, Volume 33 (2025), Issue 1 (March 27, 2024) cm:13107
In this paper we investigate weak polynomial identities for the Weyl algebra $\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial identities of the minimal degree, which is three, and of degrees 4 and
Externí odkaz:
http://arxiv.org/abs/2402.14799
Publikováno v:
Communications in Mathematics, Volume 32 (2024), Issue 2 (Special issue: CIMPA schools "Nonassociative Algebras and related topics, Brazil'2023" and "Current Trends in Algebra, Philippines'2024") (March 26, 2024) cm:12323
In this paper we describe the polynomial identities of degree 4 for a certain subspace of the Weyl algebra A_1 over an infinite field of arbitrary characteristic.
Comment: 15 pages. In version 2 proofs were expanded
Comment: 15 pages. In version 2 proofs were expanded
Externí odkaz:
http://arxiv.org/abs/2309.12795
Publikováno v:
J. Algebra, 595 (2022), 279-296
In 2013 Benkart, Lopes and Ondrus introduced and studied in a series of papers the infinite-dimensional unital associative algebra $\A_h$ generated by elements $x,y,$ which satisfy the relation $yx-xy=h$ for some $0\neq h\in \FF[x]$. We generalize th
Externí odkaz:
http://arxiv.org/abs/2111.07013
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