Skip to main content
Log in

Generalized equational maximality and primal-in-the-small algebras

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

    Google Scholar 

  2. —: Part II. Identities and subdirect sums of functionally complete algebras. Math. Z.59, 191–199 (1953).

    Google Scholar 

  3. —: The identities of — and unique factorization within—classes of universal algebras. Math. Z.62, 172–188 (1955).

    Google Scholar 

  4. —: Functional completeness in the small; algebraic structure theorems and identities. Math. Ann.143, 29–58 (1955).

    Google Scholar 

  5. —:p-rings and their Boolean vector representation. Acta Math.84, 231–261 (1951).

    Google Scholar 

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

    Google Scholar 

  7. Sioson, F.: Contributions to primal algebra theory and independence. Doctoral Dissertation, University of Calif., Berkeley 1960.

    Google Scholar 

  8. Stone, M. H.: The theory of representations of Boolean algebras. Trans. Amer. Math. Soc.40, 37–111 (1936).

    Google Scholar 

  9. Wade, L. I.: Post algebras and rings. Duke Math. J.12, 389–395 (1945).

    Google Scholar 

  10. Zemmer, J. L.: Some remarks onp-rings and their Boolean geometry. Pac. J. Math.29, 193–205 (1956).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Foster, A.L. Generalized equational maximality and primal-in-the-small algebras. Math Z 79, 127–146 (1962). https://doi.org/10.1007/BF01193111

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01193111

Navigation