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Iranian Journal of Fuzzy Systems، جلد ۶، شماره ۲، صفحات ۷-۱۸
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| عنوان فارسی |
DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES |
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| چکیده فارسی مقاله |
The aim of this paper is to extend results established by H. Ono
and T. Kowalski regarding directly indecomposable commutative residuated
lattices to the non-commutative case. The main theorem states 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. We apply these results to
prove some properties of the Boolean center of a residuated lattice and also
define the algebras on subintervals of residuated lattices. |
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| کلیدواژه‌های فارسی مقاله |
residuated lattice، Complementary factor congruence، Boolean center، Directly indecomposable algebra، Subdirectly irreducible algebra، Normal filter، |
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| عنوان انگلیسی |
DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES |
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| چکیده انگلیسی مقاله |
The aim of this paper is to extend results established by H. Ono
and T. Kowalski regarding directly indecomposable commutative residuated
lattices to the non-commutative case. The main theorem states 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. We apply these results to
prove some properties of the Boolean center of a residuated lattice and also
define the algebras on subintervals of residuated lattices. |
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| کلیدواژه‌های انگلیسی مقاله |
residuated lattice, Complementary factor congruence, Boolean center, Directly indecomposable algebra, Subdirectly irreducible algebra, Normal filter |
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| نویسندگان مقاله |
lavinia کورینا ciungu | lavinia corina
polytechnical university of bucharest, splaiul independentei 313, bucharest, romania
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| نشانی اینترنتی |
http://ijfs.usb.ac.ir/article_204_3e6b6b9895e27badb0b800d0bb818256.pdf |
| فایل مقاله |
اشکال در دسترسی به فایل - ./files/site1/rds_journals/448/article-448-132008.pdf |
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| زبان مقاله منتشر شده |
fa |
| موضوعات مقاله منتشر شده |
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