Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
$MV$-algebra; archimedean $MV$-algebra; completeness; singular $MV$-algebra; higher degrees of distributivity
$MV$-algebra; archimedean $MV$-algebra; completeness; singular $MV$-algebra; higher degrees of distributivity
Summary:
References:
[1] D. Byrd and J. T. Lloyd: Closed subgroups and complete distributivity in lattice-ordered groups. Math. Z. 101 (1967), 123–130. MR 0218284
[2] R. Cignoli, I. M. L. D’Ottaviano and D. Mundici: Algebraic Foundations of Many-valued Reasoning. Trends in Logic, Studia Logica Library, Vol. 7. Kluwer Academic Publishers, Dordrecht, 2000. MR 1786097
[3] P. Conrad: The relationship between the radical of a lattice ordered group and complete distributivity. Pacific J. Math. 14 (1964), 494–499. MR 0166279 | Zbl 0122.03701
[4] P. Conrad: Lattice Ordered Groups. Tulane University, 1970. Zbl 0258.06011
[5] L. Fuchs: Partially Ordered Algebraic Systems. Pergamon Press, Oxford, 1963. MR 0171864 | Zbl 0137.02001
[6] J. Jakubík: Higher degrees of distributivity in lattices and lattice ordered groups. Czechoslovak Math. J. 18 (1968), 356–376. MR 0225690
[7] J. Jakubík: Distributivity in lattice ordered groups. Czechoslovak Math. J. 22 (1972), 108–125. MR 0325487
[8] J. Jakubík: Direct product decompositions of $MV$-algebras. Czechoslovak Math. J. 44 (1994), 725–739.
[9] J. Jakubík: On complete $MV$-algebras. Czechoslovak Math. J. 45 (1995), 473–480. MR 1344513
[10] J. Jakubík: On archimedean $MV$-algebras. Czechoslovak Math. J. 48 (1998), 575–582. MR 1637871
[11] J. Jakubík: Complete generators and maximal completions of $MV$-algebras. Czechoslovak Math. J. 48 (1998), 597–608. MR 1637863
[12] J. T. Lloyd: Complete distributivity in certain infinite permutation groups. Michigan Math. J. 14 (1967), 393–400. MR 0219462 | Zbl 0167.30202
[13] R. S. Pierce: Distributivity in Boolean algebras. Pacific J. Math. 7 (1957), 983–992. MR 0089180 | Zbl 0086.02803
[14] R. Sikorski: Boolean Algebras, Second Edition. Springer Verlag, Berlin, 1964. MR 0126393
[15] F. Šik: Über subdirekte Summen geordneter Gruppen. Czechoslovak Math. J. 10 (1960), 400–424. MR 0123626
[16] E. C. Weinberg: Higher degrees of distributivity in lattices of continuous functions. Trans. Amer. Math. Soc. 104 (1962), 334–346. MR 0138569 | Zbl 0105.09401
[17] E. C. Weinberg: Completely distributive lattice ordered groups. Pacific J. Math. 12 (1962), 1131–1148. MR 0147549 | Zbl 0111.24301
Search
Partner of
