QUASI-IDENTITIES OF FINITE-SEMIGROUPS AND SYMBOLIC DYNAMICS

Authors
MARGOLIS SW SAPIR MV
Citation
Sw. Margolis et Mv. Sapir, QUASI-IDENTITIES OF FINITE-SEMIGROUPS AND SYMBOLIC DYNAMICS, Israel Journal of Mathematics, 92(1-3), 1995, pp. 317-331
Citations number
31
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
92
Issue
1-3
Year of publication
1995
Pages
317 - 331
Database
ISI
SICI code
0021-2172(1995)92:1-3<317:QOFASD>2.0.ZU;2-L
Abstract
An algebra is inherently non-finitely (Q-)based if it is not a member of any locally finite (quasi-)variety, whose (quasi-)identities are fi nitely based. We prove that no finite semigroup is inherently non-fini tely Q-based. This is in marked contrast to the case of varieties, whe re there are many inherently non-finitely based finite semigroups whic h have all been described by the second author.