The subvariety lattice of the join of two semigroup varieties |
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Authors: | Wen Ting Zhang Yan Feng Luo |
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Institution: | (1) Department of Mathematics, Lanzhou University, Lanzhou, 730000, P. R. China |
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Abstract: | The join A ∨ B of two semigroup varieties A and B is investigated. The lattice of subvarieties of A ∨ B is completely described. It is shown that this lattice is finite and non-modular and that all varieties in it are finitely
based and finitely generated.
This research is partially supported by the EYTP of MOE of China, the National Natural Science Foundation of China (No. 10571077)
and the Natural Science Foundation of Gansu Province (3ZS052-A25-017) |
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Keywords: | semigroups varieties identities lattice |
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