Infinite independent systems of the identities of the associative algebra over an infinite field of characteristic p > 0

Nicolae Ion Sandu

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 1, page 1-23
  • ISSN: 0011-4642

Abstract

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In this paper some infinitely based varieties of groups are constructed and these results are transferred to the associative algebras (or Lie algebras) over an infinite field of an arbitrary positive characteristic.

How to cite

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Sandu, Nicolae Ion. "Infinite independent systems of the identities of the associative algebra over an infinite field of characteristic $p>0$." Czechoslovak Mathematical Journal 55.1 (2005): 1-23. <http://eudml.org/doc/30924>.

@article{Sandu2005,
abstract = {In this paper some infinitely based varieties of groups are constructed and these results are transferred to the associative algebras (or Lie algebras) over an infinite field of an arbitrary positive characteristic.},
author = {Sandu, Nicolae Ion},
journal = {Czechoslovak Mathematical Journal},
keywords = {associative algebras; infinite systems of identities; Specht’s problem; associative algebras; infinite bases of identities; Specht problem},
language = {eng},
number = {1},
pages = {1-23},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Infinite independent systems of the identities of the associative algebra over an infinite field of characteristic $p>0$},
url = {http://eudml.org/doc/30924},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Sandu, Nicolae Ion
TI - Infinite independent systems of the identities of the associative algebra over an infinite field of characteristic $p>0$
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 1
SP - 1
EP - 23
AB - In this paper some infinitely based varieties of groups are constructed and these results are transferred to the associative algebras (or Lie algebras) over an infinite field of an arbitrary positive characteristic.
LA - eng
KW - associative algebras; infinite systems of identities; Specht’s problem; associative algebras; infinite bases of identities; Specht problem
UR - http://eudml.org/doc/30924
ER -

References

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  4. Counterexamples to the Specht’s problem, Matem. sb. 191 (2000), 13–24. (Russian) (2000) MR1773251
  5. Infinite independent systems of the identities of the associative algebras over an infinite field of characteristic 2, Matem. zametki 74 (2003), 603–611. (Russian) (2003) MR2042973
  6. The Dnestr Notebook. Unsolved Problems of the Ring and Module Theory, Institute of Mathematics of SD AS USSS, Novosibirsk, 1982. (Russian) (1982) 
  7. Group rings. The results of science and technique, Modern Mathematics Problems. Main Directions, VINITI, Moskva, 1973, pp. 5–118. (Russian) (1973) MR0414623
  8. 10.1112/blms/2.3.280, Bull. London Math. Soc. 2 (1970), 280–286. (1970) Zbl0216.08401MR0276307DOI10.1112/blms/2.3.280
  9. Algebra, Addison-Wesley Publishing Company, Reading, 1965. (1965) MR0197234
  10. Combinatorial Group Theory, Wiley, New York, 1966. (1966) 
  11. 10.1093/qmath/21.3.297, Quart. J.  Math. 21 (1970), 297–308. (1970) Zbl0204.35901MR0269710DOI10.1093/qmath/21.3.297
  12. 10.1007/BF01463349, Algebra i logika 13 (1974), 265–290. (Russian) (1974) MR0374220DOI10.1007/BF01463349

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