Skip to main content
SpringerLink
Log in

Representations of distributive semilattices in ideal lattices of various algebraic structures

  • Published:
algebra universalis Aims and scope Submit manuscript

Abstract.

We study the relationships among existing results about representations of distributive semilattices by ideals in dimension groups, von Neumann regular rings, C*-algebras, and complemented modular lattices. We prove additional representation results which exhibit further connections with the scattered literature on these different topics.

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, University of California, Santa Barbara, CA 93106, USA, e-mail: goodearl@math.ucsb.edu, URL: http://www.math.ucsb.edu/~goodearl, , , , , , US

    K. R. Goodearl

  2. CNRS, ESA 6081, Département de Mathématiques, Université de Caen, F-14032 Caen Cedex, France, e-mail: wehrung@math.unicaen.fr, URL: http://www.math.unicaen.fr/~wehrung, , , , , , FR

    F. Wehrung

Authors
  1. K. R. Goodearl
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Wehrung
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received March 2, 1998; accepted in final form November 9, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Goodearl, K., Wehrung, F. Representations of distributive semilattices in ideal lattices of various algebraic structures. Algebra univers. 45, 71–102 (2001). https://doi.org/10.1007/s000120050203

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000120050203

Search

Navigation