Email this article The Specht Property of L-Varieties of Vector Spaces Over an Arbitrary Field
- Authors: Kislitsin A.V.1,2
-
Affiliations:
- Dostoevskii Omsk State University
- Altai State Pedagogical University
- Issue: Vol 57, No 5 (2018)
- Pages: 360-367
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234103
- DOI: https://doi.org/10.1007/s10469-018-9508-3
- ID: 234103
Cite item
Open Access
Access granted
Subscription Access
Abstract
We study the Specht property for L-varieties of vector spaces embedded in associative algebras over an arbitrary field. An L-variety with no finite basis of identities over a field, which is the join of two Spechtian L-varieties, is exemplified. A condition under which L-varieties will have the Specht property is found.
About the authors
A. V. Kislitsin
Dostoevskii Omsk State University; Altai State Pedagogical University
Author for correspondence.
Email: kislitsin@altspu.ru
Russian Federation, pr. Mira 55-A, Omsk, 644077; ul. Molodezhnaya 55, Barnaul, 656031
Supplementary files
