DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES

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CIUNGU L.C.

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Journal: Iranian Journal of Fuzzy Systems Year:2009 | Volume:6 | Issue:2 Page(s): 7-18

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Information Journal Paper

Title

DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES

Author(s)

CIUNGU L.C. | Issue Writer Certificate

Keywords

RESIDUATED LATTICEQ2

COMPLEMENTARY FACTOR CONGRUENCEQ2

BOOLEAN CENTERQ2

DIRECTLY INDECOMPOSABLE ALGEBRAQ2

SUBDIRECTLY IRREDUCIBLE ALGEBRAQ2

NORMAL FILTERQ2

Abstract

The aim of this paper is to extend to the non-commutative case some results established by H. Ono and T. Kowalski regarding directly indecomposable commutative RESIDUATED LATTICEs. The main result consists of proving that a RESIDUATED LATTICE A is directly indecomposable if and only if its BOOLEAN CENTER B(A) is {0, 1}. We also prove that any linearly ordered RESIDUATED LATTICE and any local RESIDUATED LATTICE are directly indecomposable. As application of these results we prove some properties of the BOOLEAN CENTER of a RESIDUATED LATTICE and we define the algebras on subintervals of RESIDUATED LATTICEs.

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APA: Copy

CIUNGU, L.C.. (2009). DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 6(2), 7-18. SID. https://sid.ir/paper/113399/en

Vancouver: Copy

CIUNGU L.C.. DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2009;6(2):7-18. Available from: https://sid.ir/paper/113399/en

IEEE: Copy

L.C. CIUNGU, “DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 6, no. 2, pp. 7–18, 2009, [Online]. Available: https://sid.ir/paper/113399/en

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