Extension-closure and attainability for varieties of algebras with involution

Barry J. Gardner

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 2, page 285-292
  • ISSN: 0010-2628

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Gardner, Barry J.. "Extension-closure and attainability for varieties of algebras with involution." Commentationes Mathematicae Universitatis Carolinae 021.2 (1980): 285-292. <http://eudml.org/doc/17033>.

@article{Gardner1980,
author = {Gardner, Barry J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {algebra with involution; attainable identities; extension closed variety; semi-simple radical class},
language = {eng},
number = {2},
pages = {285-292},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Extension-closure and attainability for varieties of algebras with involution},
url = {http://eudml.org/doc/17033},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Gardner, Barry J.
TI - Extension-closure and attainability for varieties of algebras with involution
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 2
SP - 285
EP - 292
LA - eng
KW - algebra with involution; attainable identities; extension closed variety; semi-simple radical class
UR - http://eudml.org/doc/17033
ER -

References

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  1. B. J. GARDNER, Semi-simple radical classes of algebras and attainability of identities, Pacific J. Math. 61 (1975), 401-416. (1975) MR0399190
  2. B. J. GARDNER, Extension-closed varieties of rings need not have attainable identities, Bull. Malaysian Math. Soc. (2) 2 (1979), 37-39. (1979) Zbl0393.17002MR0545800
  3. I. N. HERSTEIN, Rings with periodic symmetric or skew elements, J. Algebra 30 (1974), 144-154. (1974) Zbl0292.16006MR0347884
  4. A. I. MAL'TSEV, Ob umnozhenii klassov algebraicheskikh sistem, Sibirskii Mat. Zhurnal 8 (1967), 346-365. (1967) 
  5. W. S. MARTINDALE, Rings with involution and polynomial identities, J. Algebra 11 (1969), 186-194. (1969) Zbl0192.37702MR0234990
  6. S. MONTGOMERY, A generalization of a theorem of Jacobson, Proc. Amer. Math. Soc. 28 (1971), 366-370. (1971) MR0276272
  7. S. MONTGOMERY, A generalization of a theorem of Jacobson II, Pacific J. Math. 44 (1973), 233-240. (1973) Zbl0256.16009MR0314892
  8. J. M. OSBORN, Varieties of algebras, Advances in Math. 8 (1972), 163-369. (1972) Zbl0232.17001MR0289587
  9. K. SALAVOVA, Radikaly kolets s involyutsiei 1, Comment. Math. Univ. Carolinae 18 (1977), 367-381. (1977) MR0485962
  10. K. SALAVOVA, Radikaly kolets s involyutsiei 2, Comment. Math. Univ. Carolinae 18 (1977), 455-466. (1977) 
  11. R. P. STANLEY, Zero square rings, Pacific J. Math. 30 (1969), 811-824. (1969) Zbl0184.06301MR0251062

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