Skip to main content
SpringerLink
Log in

The inflation class operator

  • Published:
Algebra universalis Aims and scope Submit manuscript

Abstract.

We consider the inflation class operator, denoted by F, where for any class K of algebras, F(K) is the class of all inflations of algebras in K. We study the interaction of this operator with the usual algebraic operators H, S andP, and describe the partially-ordered monoid generated by H, S, P andF (with the isomorphism operator I as an identity).

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

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada, T2N-1N4

    A. Christie

  2. School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada, K1S-5B6

    Q. Wang

  3. Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB, Canada, T1K-3M4

    S. L. Wismath

Authors
  1. A. Christie
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Q. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. L. Wismath
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Christie.

Additional information

Received February 3, 2004; accepted in final form January 3, 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Christie, A., Wang, Q. & Wismath, S.L. The inflation class operator. Algebra univers. 56, 107–118 (2007). https://doi.org/10.1007/s00012-006-1988-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00012-006-1988-7

2000 Mathematics Subject Classification.

Key words and phrases.

Search

Navigation