Skip to main content
SpringerLink
Log in

Generalized Iterated Maximal Essential Extensions of Rings

  • Regular Article
  • Published:
Algebra Colloquium

Abstract

A necessary and sufficient condition for the existence of GIME(A), the generalized iterated maximal essential extension of an associative ring A, is obtained provided that A is commutative. Some properties of GIME(A) are described, in particular, when A is semiprime or commutative. An example of a prime ring A having no GIME(A) is constructed.

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. Institute of Mathematics, University of Bialystok, 15-267 Bialystok, Akademicka 2, Poland

    R. R. Andruszkiewicz

Authors
  1. R. R. Andruszkiewicz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. R. Andruszkiewicz.

Additional information

Communicated by R. Wiegandt

2000 Mathematics Subject Classification: 16S70, 13G05, 13E05, 13B02, 13A15

Rights and permissions

Reprints and permissions

About this article

Cite this article

Andruszkiewicz, R.R. Generalized Iterated Maximal Essential Extensions of Rings. Algebra Colloq. 10, 109–120 (2003). https://doi.org/10.1007/s100110300014

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s100110300014

Keywords:

Search

Navigation