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Zum Begriff der Charakteristik modularer Verbände. (German) Zbl 0316.06006


MSC:

06C05 Modular lattices, Desarguesian lattices
13B25 Polynomials over commutative rings
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References:

[1] Baer, R.: Direct decompositions, Trans. Amer. math. Soc.62, 62-98 (1947) · Zbl 0034.29804 · doi:10.1090/S0002-9947-1947-0021947-7
[2] Baker, K.: Equational axioms for classes of lattices, Bull. Amer. math. Soc.77, 97-102 (1971) · Zbl 0209.31901 · doi:10.1090/S0002-9904-1971-12618-6
[3] Birkhoff, G.: Lattice, Theory, Colloquium Publication Vol. 25, New York: American Mathematical Society 1967 · Zbl 0153.02501
[4] Herrmann, C., Huhn, A.: Zum Wortproblem für freie Untermodulverbände, erscheint in Arch. der Math. · Zbl 0343.06012
[5] Huhn, A.: Schwach distributive Verbände I, Acta Sci. math.33, 297-305 (1972) · Zbl 0269.06006
[6] Huhn, A.: On a problem of G. Grätzer, erscheint in Algebra universalis
[7] Jónnson, B., Monk, G.S.: Representation of primary Arguesian lattices, Pacific. J. Math.30, 95-139 (1969)
[8] Jónsson, B.: Extensions of von Neumann’s coordinatizations theorem, In: Proc. Symp. Pure Math. vol. II, (Monterey 1959), R. P. Dilworth (ed.), pp. 65-70. Providence American Mathematical Society 1961
[9] Jónsson, B.: Modular lattices and Desargues’ theorem, Math. Scandinav.2, 295-314 (1954) · Zbl 0056.38403
[10] Kurosh, A. G.: Theory of Groups. New York: Chelsea 1956 · Zbl 0266.20030
[11] Schützenberger, M.: Sur certains axiomes de la theorie des structures, C.r.Acad. Sci., Paris221, 218-220 (1945) · Zbl 0060.06001
[12] Wille, R.: Primitive Länge und primitive Weite bei modularen Verbänden, Math. Z.108, 129-136 (1969) · Zbl 0169.32403 · doi:10.1007/BF01114466
[13] Wille, R.: On free modular lattices generated by finite chains, Algebra universalis3, 131-138 (1973) · Zbl 0295.06008 · doi:10.1007/BF02945112
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