On Loewy length of rings

Victor Camillo; Kent Fuller

doi:10.2140/pjm.1974.53.347

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On Loewy length of rings

Victor Camillo and Kent Fuller

Pacific journal of mathematics, Vol.53(2), pp.347-354

08/01/1974

DOI: 10.2140/pjm.1974.53.347

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Abstract

Associated with each ring R over which every nonzero right module has a minimal submodule is an ordinal number called its right (lower) Loewy length. The concern here is with the various possible left and right Loewy lengths of such rings with zero radical and with the possible right-left symmetry of this minimal submodule condition. In particular, if R has finite right Loewy length n then R has left Loewy length ≦2n-1. © 1974 Pacific Journal of Mathematics Manufactured and first issued in Japan.

Details

Title: Subtitle: On Loewy length of rings
Creators: Victor Camillo
Kent Fuller
Resource Type: Journal article
Publication Details: Pacific journal of mathematics, Vol.53(2), pp.347-354
DOI: 10.2140/pjm.1974.53.347
ISSN: 0030-8730
eISSN: 1945-5844
Language: English
Date published: 08/01/1974
Academic Unit: Mathematics
Record Identifier: 9984240879002771

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