|
This article is cited in 1 scientific paper (total in 1 paper)
Mathematical logic, algebra and number theory
Monomial Rota—Baxter operators on free commutative non-unital algebra
V. Gubarevab a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
Abstract:
A Rota—Baxter operator defined on the polynomial algebra is called monomial if it maps each monomial to a monomial with some coefficient. We classify monomial Rota—Baxter operators defined on the algebra of polynomials in one variable with no constant term. We also describe injective monomial Rota—Baxter operators of nonzero weight on the algebra of polynomials in several variables with no constant term.
Keywords:
Rota—Baxter operator, polynomial algebra.
Received November 11, 2019, published August 3, 2020
Citation:
V. Gubarev, “Monomial Rota—Baxter operators on free commutative non-unital algebra”, Sib. Èlektron. Mat. Izv., 17 (2020), 1052–1063
Linking options:
https://www.mathnet.ru/eng/semr1273 https://www.mathnet.ru/eng/semr/v17/p1052
|
Statistics & downloads: |
Abstract page: | 143 | Full-text PDF : | 27 | References: | 11 |
|