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Small inherently nonfinitely based finite semigroups

โœ Scribed by Marcel Jackson


Publisher
Springer
Year
2001
Tongue
English
Weight
325 KB
Volume
64
Category
Article
ISSN
0037-1912

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We define the notion of strictly finitely based varieties of groups and determine which finite groups are strictly finitely based. Then we use this result to prove the existence of "very nonfinitely based" finite algebras, thereby solving two open problems in the theory of quasivarieties.