Falling -Ideals in -Algebras
2011 ◽
Vol 2011
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pp. 1-14
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Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in -algebras is established. The notions of a falling -subalgebra, a falling -ideal, a falling -ideal, and a falling -ideal of a -algebra are introduced. Some fundamental properties are investigated. Relations among a falling -subalgebra, a falling -ideal, a falling -ideal, and a falling -ideal are stated. Characterizations of falling -ideals and falling -ideals are discussed. A relation between a fuzzy -subalgebra and a falling -subalgebra is provided.
1972 ◽
Vol 169
◽
pp. 59-59
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1969 ◽
Vol 23
(1)
◽
pp. 174
◽
Keyword(s):
1979 ◽
Vol 28
(4)
◽
pp. 433-451
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Keyword(s):
2017 ◽
Vol 115
(1)
◽
pp. 91-134
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