Email this article On the primality property of central polynomials of prime varieties of associative algebras
- Authors: Samoilov L.M.1
-
Affiliations:
- Department of Mathematics and Information Technologies
- Issue: Vol 99, No 3-4 (2016)
- Pages: 413-416
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149221
- DOI: https://doi.org/10.1134/S000143461603010X
- ID: 149221
Cite item
Open Access
Access granted
Subscription Access
Abstract
In the paper, it is proved that, if f(x1,..., xn)g(y1,..., ym) is a multilinear central polynomial for a verbally prime T-ideal Γ over a field of arbitrary characteristic, then both polynomials f(x1,..., xn) and g(y1,..., ym) are central for Γ.
About the authors
L. M. Samoilov
Department of Mathematics and Information Technologies
Author for correspondence.
Email: samoilov_l@rambler.ru
Russian Federation, Ulyanovsk
Supplementary files
