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Group-valued modular functions. (English) Zbl 0458.06004


MSC:

06B15 Representation theory of lattices
06C05 Modular lattices, Desarguesian lattices
06D05 Structure and representation theory of distributive lattices
06B05 Structure theory of lattices
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References:

[1] [B]G. Birkhoff,Lattice Theory 3rd ed., A.M.S. Colloq. Publ. v. 25 Providence, (1967).
[2] [C]P. M. Cohn,Universal Algebra, Harper and Row, New York (1965).
[3] [FT]I. Fleischer andT. Traynor,Equivalence of group valued measures on an abstract lattice, to appear in Bull. Acad. Pol. Sci. · Zbl 0514.28004
[4] [G]L. Geissinger,Valuations on distributive lattices I, Arch. Math.24 (1973), 230–239. · Zbl 0268.06008 · doi:10.1007/BF01228204
[5] [H]J. Hashimoto,On a lattice with valuation, Proc. AMS3 (1952) 1–2. · Zbl 0046.02803 · doi:10.1090/S0002-9939-1952-0047606-X
[6] [K]P. Kranz,Mutal equivalence of vector and scalar measures on a lattice, Bull. Acad. Pol. Sci.25 (1977), 243–256. · Zbl 0361.46041
[7] [T]G. Trevisan,Sulla distributivà delle strutture che posseggono una valutazione distributiva, Rend. Math. Univ. Padova20 (1951) 396–400. · Zbl 0044.26101
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