Journal article
Characterization of a class of r-lattices
Algebra universalis, Vol.33(4), pp.548-552
12/1995
DOI: 10.1007/BF01225474
Abstract
In this paper we show that if L = Spec(L), or if 0 is prime and K(L) ~_ Spec(L), A then L is distributive. We further show that if L is distributive and K(L) ~_ Spee(L), then L is a Noether lattice, and we obtain a structural characterization of L. Somewhat stronger results are obtained for the quasi-local case. We adopt the notation and terminology of [1] unless otherwise stated. In particular, all rings are assumed to be commutative with identity. An element E of a (modular) multiplicative lattice is said to be principal if it satisfies Dilworth's dual identities
Details
- Title: Subtitle
- Characterization of a class of r-lattices
- Creators
- D. D AndersonE. W Johnson
- Resource Type
- Journal article
- Publication Details
- Algebra universalis, Vol.33(4), pp.548-552
- DOI
- 10.1007/BF01225474
- ISSN
- 0002-5240
- eISSN
- 1420-8911
- Language
- English
- Date published
- 12/1995
- Academic Unit
- Mathematics
- Record Identifier
- 9983985701802771
Metrics
8 Record Views