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

Czechoslovak Mathematical Journal (2005)

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

## Access Full Article

top## Abstract

top## How to cite

topSandu, 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

top- 10.1007/BF02230710, Math. Z. 52 (1950), 557–589. (1950) MR0035274DOI10.1007/BF02230710
- 10.1007/BF01978692, Algebra i logika 26 (1987), 597–641. (Russian) (1987) MR0985840DOI10.1007/BF01978692
- Examples of infinitely based $T$-spaces, Matem. sb. 191 (2000), 143–160. (Russian) (2000) MR1773258
- Counterexamples to the Specht’s problem, Matem. sb. 191 (2000), 13–24. (Russian) (2000) MR1773251
- 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
- The Dnestr Notebook. Unsolved Problems of the Ring and Module Theory, Institute of Mathematics of SD AS USSS, Novosibirsk, 1982. (Russian) (1982)
- Group rings. The results of science and technique, Modern Mathematics Problems. Main Directions, VINITI, Moskva, 1973, pp. 5–118. (Russian) (1973) MR0414623
- 10.1112/blms/2.3.280, Bull. London Math. Soc. 2 (1970), 280–286. (1970) Zbl0216.08401MR0276307DOI10.1112/blms/2.3.280
- Algebra, Addison-Wesley Publishing Company, Reading, 1965. (1965) MR0197234
- Combinatorial Group Theory, Wiley, New York, 1966. (1966)
- 10.1093/qmath/21.3.297, Quart. J. Math. 21 (1970), 297–308. (1970) Zbl0204.35901MR0269710DOI10.1093/qmath/21.3.297
- 10.1007/BF01463349, Algebra i logika 13 (1974), 265–290. (Russian) (1974) MR0374220DOI10.1007/BF01463349

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.