Skip to main content
Log in

Direct and subdirect decompositions of universal algebras with a Boolean orthogonality

  • Published:
Acta Mathematica Academiae Scientiarum Hungarica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. A. Abian, Direct product decomposition of commutative semi-simple rings,Proc. Amer. Math. Soc.,24 (1970), 502–507.

    Google Scholar 

  2. D. H. Adams, Semigroups with no non-zero nilpotent elements.Math. Z.,123 (1971), 168–176.

    Article  Google Scholar 

  3. M. Chacron, Direct products of division rings and a paper of Abian,Proc. Amer. Math. Soc.,29 (1971), 259–262.

    Google Scholar 

  4. W. H. Cornish, Subdirectly irreducible semirings and semigroups without non-zero nilpotents,Canad. Math. Bull.,16 (1973), 45–47.

    Google Scholar 

  5. W. H. Cornish, Boolean orthogonalities and minimal prime ideals,Communications in Algebra,3 (1975), 859–900.

    Google Scholar 

  6. W. H. Cornish andP. N. Stewart, Wealky regular algebras, Boolean orthogonalities and direct products of integral domains,Can. J. Math.,28 (1976), 148–153.

    Google Scholar 

  7. G. Davis, Rings with orthogonality relations,Bull. Austral. Math. Soc.,4 (1971), 163–178.

    Google Scholar 

  8. G. Grätzer, Universal Algebra,Van Nostrand (Princeton 1968).

    Google Scholar 

  9. I. R. Hentzel, Alternative rings without nilpotent elements,Proc. Amer. Math. Soc.,42 (1974), 373–376.

    Google Scholar 

  10. L. Levy, Unique subdirect sums of prime rings,Trans. Amer. Math. Soc.,106 (1963), 64–76.

    Google Scholar 

  11. H. C. Myung andL. R. Jimenez, Direct product decomposition of alternative rings,Proc. Amer. Math. Soc.,47 (1975), 53–60.

    Google Scholar 

  12. R. S. Pierce,Introduction to the Theory of Abstract Algebras (Holt, Rinehart and Winston (New York, 1968).

    Google Scholar 

  13. Ju. M. Rjabuhin, Algebras without nilpotents II,Algebra and Logic,8 (1969), 123–137.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The research of the second named author was supported by National Research Council Grant A-8789.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cornish, W.H., Stewart, P.N. Direct and subdirect decompositions of universal algebras with a Boolean orthogonality. Acta Mathematica Academiae Scientiarum Hungaricae 38, 9–14 (1981). https://doi.org/10.1007/BF01917513

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01917513

Keywords

Navigation