Decompositions for relatively normal lattices-Reference-Cited by-同舟云学术

Decompositions for relatively normal lattices

Published:1994 Issue:2 Volume:341 Page:519-548
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Hart James B.,Tsinakis Constantine

Abstract

Continuing the work begun in Snodgrass and Tsinakis [26, 27], we develop a family of decomposition theorems for classes of relatively normal lattices. These results subsume and are inspired by known decomposition theorems in order-algebra due to P. Conrad and D. B. McAlister. As direct corollaries of the main results, we obtain corresponding decomposition theorems for classes of partially ordered sets.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1994-341-02/S0002-9947-1994-1211409-2/S0002-9947-1994-1211409-2.pdf

Reference28 articles.

1. The lattice of convex 𝑙-subgroups of a lattice-ordered group;Anderson, Marlow,1989

2. Reidel Texts in the Mathematical Sciences;Anderson, Marlow,1988

3. Hierarchies of distributive lattices satisfying annihilator conditions;Beazer, R.;J. London Mat. Soc. (2),1975

4. Lecture Notes in Mathematics, Vol. 608;Bigard, Alain,1977

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