Advertisement

algebra universalis

, Volume 54, Issue 3, pp 337–348 | Cite as

ℓ-Groups with restricted conditions on large convex ℓ-subgroups

  • Xinmin Lu
Original Paper

Abstract.

The main aim of the present paper is to study ℓ-groups with restricted conditions on large convex ℓ-subgroups, including the atomic condition and the descending chain condition. We will give an explicit description for them. As an application, we will establish another property equivalent to Conrad’s Finite Basis Theorem.

Mathematics Subject Classification (2000).

06F15 06B23 

Key words and phrases.

ℓ-group atomic condition descending chain condition large convex ℓ-subgroup Conrad’s Finite Basis Theorem 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  1. 1.Faculty of ScienceJiangxi University of Science and TechnologyGanzhouThe People’s Republic of China

Personalised recommendations