Hereditarily Finitely Based Semigroups of Triangular Matrices over Finite Fields |
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| Authors: | Wen Ting Zhang Jian Rong Li Yan Feng Luo |
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| Affiliation: | 1. Department of Mathematics, Lanzhou University, Lanzhou, Gansu, 730000, People’s Republic of China
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| Abstract: | ![]()
Denote by the semigroup of all n×n upper triangular matrices over the field F q of order q. It is shown that the variety generated by is hereditarily finitely based if and only if n≤2. Moreover, the semigroup is not hereditarily finitely based for any n≥3 and any q≥2. |
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