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- Title
The finite basis property of a certain semigroup of upper triangular matrices over a field.
- Authors
Chen, Yuzhu; Hu, Xun; Luo, Yanfeng
- Abstract
Let be the semigroup of all upper triangular matrices over a field whose main diagonal entries are s and/or s. Volkov proved that is nonfinitely based as both a plain semigroup and an involution semigroup under the reflection with respect to the secondary diagonal. In this paper, we shall prove that is finitely based for any field . When , this result partially answers an open question posed by Volkov.
- Subjects
SEMIGROUPS (Algebra); MATRICES (Mathematics); IDENTITIES (Mathematics); HOMOMORPHISMS; MULTIPLICATION
- Publication
Journal of Algebra & Its Applications, 2016, Vol 15, Issue 9, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498816501772