Skip to main content
SpringerLink
Log in

Recent developments in the theory of skew lattices

  • Survey
  • Published:
Semigroup Forum Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bignall, R. J.,Quasiprimal varieties and components of universal algebras, Dissertation, The Flinders University of S. Australia, 1976.

  2. Bignall, R. J.,Non-commutative multiple-valued logic, Proceedings of the Twenty-first International Symposium on Multiple-Valued Logic, IEEE Computer Society Press (1991), 49–54.

  3. Bignall, R. J., and J. E. Leech,Skew Boolean algebras and discriminator varieties, to appear in A. Universalis.

  4. Burris, S., and H. P. Sankappanavar, “A Course in Universal Algebra,” Springer-Verlag, New York, 1981.

    MATH  Google Scholar 

  5. Cornish, W. H.,Boolean skew algebras, Acta Math. Hungar.36 (1980), 281–291.

    Article  MATH  MathSciNet  Google Scholar 

  6. Gerhardts, M. D.,Zur Charakterisierung distributiver Schiefverbände, Math. Ann.161 (1965), 231–240.

    Article  MATH  MathSciNet  Google Scholar 

  7. —,Zerlegungshomomorphismen in Schrägverbänden, Arch. Math.21 (1970) 116–122.

    Article  MATH  MathSciNet  Google Scholar 

  8. Howie, J. M., “Introduction to Semigroup Theory,” Academic Press, London, 1976.

    MATH  Google Scholar 

  9. Jordan P.,Halbgruppen von Idempotenten und nichtkommutative Verbände, J. Reine Angew. Math.211 (1962), 136–161.

    MATH  MathSciNet  Google Scholar 

  10. Keimel, K., and H. Werner,Stone duality for varieties generated by quasiprimal algebras, Mem. Amer. Math. Soc.148 (1974), 59–85.

    MATH  MathSciNet  Google Scholar 

  11. Kimura, N.,The structure of idempotent semigroups, I, Pacific J. Math.8 (1958), 257–275.

    MATH  MathSciNet  Google Scholar 

  12. Leech, J. E.,Skew lattices in rings, A. Universalis26 (1989), 48–72.

    Article  MATH  MathSciNet  Google Scholar 

  13. —,Skew Boolean algebras, A. Universalis27 (1990), 497–506.

    Article  MATH  MathSciNet  Google Scholar 

  14. —,Normal skew lattices, Semigroup Forum44 (1992), 1–8.

    Article  MATH  MathSciNet  Google Scholar 

  15. —,The geometric structure of skew lattices, Trans. Amer. Math. Soc.335 (1993), 823–842.

    Article  MATH  MathSciNet  Google Scholar 

  16. Matsushita, S.,Zur Theorie der nichtkommutativen Verbände, I, Math. Ann.137 (1959), 1–8.

    Article  MATH  MathSciNet  Google Scholar 

  17. Pastjin, F., and A. Romanowska,Idempotent distributive semirings, I, Acta Sci. Math.44 (1982), 239–253.

    Google Scholar 

  18. —,Idempotent distributive semirings, II, Semigroup Forum26 (1983), 151–166.

    MathSciNet  Google Scholar 

  19. Petrich, M. “Lectures on Semigroups,” John Wiley and Sons, New York, 1977.

    Google Scholar 

  20. Rosenthal, K. I., “Quantales and their Applications,” Longman Scientific and Technical, Essex, 1990.

    MATH  Google Scholar 

  21. Schein, B. M.,Restrictive bisemigroups, Amer. Math. Soc. Trans. (2)100 (1972), 293–307.

    MathSciNet  Google Scholar 

  22. —,Pseudosemilattices and pseudolattices, Amer. Math. Soc. Transl. (2)119 (1983), 1–16.

    Google Scholar 

  23. Schweigert, D.,Near lattices, Math. Solvaca35 (1985), 313–317.

    MATH  MathSciNet  Google Scholar 

  24. —,Distributive associative near lattices, Math. Slovaca35 (1985), 313–317.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Westmont College, 955 La Paz Road, 93108-1099, Santa Barbara, CA, USA

    Jonathan Leech

Authors
  1. Jonathan Leech
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by K. H. Hofmann

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leech, J. Recent developments in the theory of skew lattices. Semigroup Forum 52, 7–24 (1996). https://doi.org/10.1007/BF02574077

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02574077

Keywords

Search

Navigation