Skip to main content

Varieties with linear subalgebra geometries

  • 491 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1149)

Keywords

  • Variety Versus
  • Free Algebra
  • Free Generator
  • Term Function
  • Congruence Class

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Burris, H.P. Sankappanavar, A course in universal algebra. Springer, New York Heidelberg Berlin, 1981.

    CrossRef  MATH  Google Scholar 

  2. P. Dembowski, Finite geometries. Springer, Berlin Heidelberg New York, 1968.

    CrossRef  MATH  Google Scholar 

  3. T. Evans, B. Ganter, Varieties with modular subalgebra lattices. Bull. Austral. Math. Soc. 28 (1983), 247–254.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. B. Ganter, H. Werner, Equational classes of Steiner systems. Algebra Universalis 5 (1975), 125–140.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. B. Ganter, H. Werner, Co-ordinatizing Steiner systems. Annals of Discrete Mathematics 7 (1980), 3–24.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. G. Grätzer, Universal algebra. 2nd edition, Springer, New York Heidelberg Berlin, 1979.

    MATH  Google Scholar 

  7. Th. Ihringer, On groupoids having a linear congruence class geometry. Math. Z. 180 (1982), 394–411.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Th. Ihringer, On finite algebras having a linear congruence class geometry. Algebra Universalis 19 (1984), 1–10.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. H.P. Müller, Unteralgebrenräume mit Austauschaxiom. Diplomarbeit, Darmstadt, 1979.

    Google Scholar 

  10. J.M. Osborn, Vector loops. Illinois J. Math. 5 (1961), 565–584.

    MathSciNet  MATH  Google Scholar 

  11. P.P. Pálfy, Unary polynomials in algebras, I. Algebra Universalis 18 (1984), 262–273.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. A. Pasini, On the finite transitive incidence algebras. Boll. Un. Mat. Ital. (5) 17-B (1980), 373–389.

    MathSciNet  MATH  Google Scholar 

  13. R. Quackenbush, Near vector spaces over GF(q) and (v,q+1,1)-BIBD’s. Linear Algebra and Appl. 10 (1975), 259–266.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. S.K. Stein, Homogeneous quasigroups. Pacific J. Math. 14 (1964), 1091–1102.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. S. Świerczkowski, Algebras independently generated by every n elements. Fund. Math. 49 (1960), 93–104.

    MathSciNet  MATH  Google Scholar 

  16. R. Wille, Kongruenzklassengeometrien. Lecture Notes in Mathematics 113, Springer, Berlin Heidelberg New York, 1970.

    MATH  Google Scholar 

  17. R. Wille, Allgemeine geometrische Algebra. Manuscript, Darmstadt, 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Ganter, B., Ihringer, T. (1985). Varieties with linear subalgebra geometries. In: Comer, S.D. (eds) Universal Algebra and Lattice Theory. Lecture Notes in Mathematics, vol 1149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098457

Download citation

  • DOI: https://doi.org/10.1007/BFb0098457

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15691-8

  • Online ISBN: 978-3-540-39638-3

  • eBook Packages: Springer Book Archive