Skip to main content
Log in

Maximal primal clusters are infinite

  • Published:
Mathematische Annalen 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.

Bibliography

  1. Astromoff, A. B.: Some structure theorems for primal and categorical algebras. Math. Z.87, 365–377 (1965).

    Article  MATH  MathSciNet  Google Scholar 

  2. Foster, A. L.: Generalized “Boolean” theory of universal algebras, Part I: Subdirect sums and normal representation theorem. Math. Z.58, 306–336 (1953).

    Article  MATH  MathSciNet  Google Scholar 

  3. —— Generalized “Boolean” theory of universal algebras, Part II: Identities and subdirect sums of functionally complete algebras. Math. Z.59, 191–199 (1953).

    Article  MATH  MathSciNet  Google Scholar 

  4. —— The identities of — and unique factorization within — certain classes of universal algebras. Math. Z.62, 171–188 (1955).

    Article  MATH  MathSciNet  Google Scholar 

  5. The generalized Chinese remainder theorem for universal algebras; subdirect factorization. Math. Z.66, 452–469 (1957).

    Google Scholar 

  6. Froemke, Jon: Pairwise and general independence of abstract algebras. Submitted for publication.

  7. Gratzer, George: Universal algebra. Princeton, New Jersey: D. Van Nostrand Co., Inc. 1969.

    Google Scholar 

  8. O'Keefe, E. S.: On the independence of primal algebras. Math. Z.73, 79–94 (1960).

    Article  MATH  MathSciNet  Google Scholar 

  9. —— Primal clusters of two-element algebras. Pac. J. Math.11, 1505–1510 (1961).

    MATH  MathSciNet  Google Scholar 

  10. Rosenbloom, P. C.: Post algebras. I. Postulates and general theory. Am. J. Math.64, 167–188 (1942).

    MATH  MathSciNet  Google Scholar 

  11. Sioson, F. M.: Some primal clusters. Math. Z.75, 201–210 (1960/61).

    MathSciNet  Google Scholar 

  12. Yaqub, A.: Primal clusters. Pac. J. Math.16, 379–388 (1966).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Froemke, J. Maximal primal clusters are infinite. Math. Ann. 191, 99–120 (1971). https://doi.org/10.1007/BF02330564

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02330564

Navigation