Decompositions for relatively normal lattices

Hart, James B.; Tsinakis, Constantine

doi:10.1090/S0002-9947-1994-1211409-2

Decompositions for relatively normal lattices
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by James B. Hart and Constantine Tsinakis PDF

Trans. Amer. Math. Soc. 341 (1994), 519-548 Request permission

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.

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