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On semigroup graded PI-algebras

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References

  1. Bergman, G. M.,Radicals, tensor products and algebraicity, in Ring Theory 1989 in honor of S. A. Amitsur, Weizmann Science Press of Israel, 1989, 150–192.

  2. Chick, H. L. and B. J. Gardner,The preservation of some ring properties by semilattice sums, Commun. Algebra15 (1987), 1017–1038.

    MATH  MathSciNet  Google Scholar 

  3. Clifford, A. H. and G. B. Preston,The algebraic theory of semigroups, Vol. I, Math. Surveys No. 7, Amer. Math. Soc. Providence, 1961.

    MATH  Google Scholar 

  4. Cohen, M. and S. Montgomery,Group-graded rings, smash products and group actions, Trans. Amer. Math. Soc.282 (1984), 237–258.

    Article  MATH  MathSciNet  Google Scholar 

  5. Herstein, I. N.,Noncommutative Rings, Carus Math. Monographs, No. 15, John Wiley and Sons, 1968.

  6. Kelarev, A. V.,On the radicalness of semigroup graded algebras, Matem. Issledovaniya (Kishiniov)111 (1989), 82–96 (in Russian).

    MathSciNet  Google Scholar 

  7. Kelarev, A. V.,Prevarieties and bands of associative rings, Investigations of Algebraic Systems (Sverdlovsk), (1989), 47–53 (in Russian).

  8. Kelarev, A. V.,On bands of quasiregular and strongly regular rings, Algebraic Systems and Their Varieties (Sverdlovsk), (1988), 89–95 (in Russian).

  9. Kelarev, A. V.,Radical classes and bands of associative algebras, Isv. Vyssh. Ucheb. Zav. Matem.N7 (1990), 21–28 (in Russian).

    Google Scholar 

  10. Kelarev, A. V. and M. V. VolkovVarietics and bands of associative rings, Isv. Vyssh. Ucheb. Zav. Matem.N9 (1986), 16–23 (in Russian).

    MathSciNet  Google Scholar 

  11. Nastasescu, C. and N. Rodino,Group graded rings and smash products, Rend. Sem. Mat. Univ. Padova74 (1985), 129–137.

    MATH  MathSciNet  Google Scholar 

  12. Okniński, J. and P. Wauters,Radicals of semigroup rings of commutative semigroups, Math. Proc. Camb. Phil. Soc.99 (1986), 435–445.

    Article  MATH  Google Scholar 

  13. Ovsyannikov, A. J.,On radical semigroup rings, Mat. Zametki37 (1985), 452–457 (in Russian).

    MATH  MathSciNet  Google Scholar 

  14. Rowen, L. H.,General polynomial identities, II, J. Algebra38 (1976), 380–392.

    Article  MATH  MathSciNet  Google Scholar 

  15. Rowen, L. H.,Ring Theory, Pure and Appl. Math., Vol. 127, 128 Academic Press, San Siego, 1988.

    Google Scholar 

  16. Teply, M. L., E. G. Turman, and A. Quesada,On semisimple semigroup rings, Proc. Amer. Math. Soc.79 (1980), 157–163.

    Article  MATH  MathSciNet  Google Scholar 

  17. Weissglass, J.,Semigroup rings and semilattice sums of rings, Proc. Amer. Math. Soc.39 (1973), 471–478.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Stellenbosch, 7600, Stellenbosch, South Africa

    A. V. Kelarev

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  1. A. V. Kelarev
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Communicated by L. N. Shevrin

The author is grateful to Professors L. N. Shevrin and Ju. N. Maltsev for useful advice.

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Kelarev, A.V. On semigroup graded PI-algebras. Semigroup Forum 47, 294–298 (1993). https://doi.org/10.1007/BF02573766

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