Modular and Semimodular Lattices

George Grätzer ()
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George Grätzer: University of Manitoba, Department of Mathematics

Chapter Chapter V in Lattice Theory: Foundation, 2011, pp 307-407 from Springer

Abstract: Abstract Remark. In Section II.1.1, we have already proved the equivalence of (i) and (iii). The importance, or convenience, of the shearing identity (which was named by I. Halperin) is that it can be applied to any expressions of the form x ^ (y ν z) without any assumption. Observe also the dual of the shearing identity:

Keywords: Maximal Chain; Congruence Lattice; Modular Lattice; Stone Algebra; Semimodular Lattice (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-0348-0018-1_5

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