Skip to main content
SpringerLink
Log in

Boolean extensions and normal subdirect powers of finite universal 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

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. Birkhoff, G.: Lattice theory. American Mathematical Society Colloquium Publications, vol. 25, revised edition. New York (N.Y): American Mathematical Society 1948.

    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).

    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).

    Google Scholar 

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

    Google Scholar 

  5. —: Functional completness in the small. Algebraic structure theorems and identities. Math. Ann.143 29–58 (1961).

    Google Scholar 

  6. —: Functional completeness in the small. II. Algebraic cluster theorem. Math. Ann.148, 173–191 (1962).

    Google Scholar 

  7. Grätzer, G.: Universal algebra. Lecture notes. The Pennsylvania State University. Pennsylvania: University Park 1964/65.

    Google Scholar 

  8. Jónsson, B.: Algebras whose congruence lattices are distributive. Scand. Math. (to appear).

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Math., Vanderbilt University, Nashville, Tennessee, (USA)

    Matthew I. Gould & George Grätzer

  2. Dept. of Math., University of Manitoba, Winnipeg, Manitoba, (Canada)

    Matthew I. Gould & George Grätzer

Authors
  1. Matthew I. Gould
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. George Grätzer
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research support by the National Science Foundation under grant number GP-4221.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gould, M.I., Grätzer, G. Boolean extensions and normal subdirect powers of finite universal algebras. Math Z 99, 16–25 (1967). https://doi.org/10.1007/BF01118684

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01118684

Keywords

Search

Navigation