Falling d-Ideals in d-Algebras

被引：3
|
作者：
Jun, Young Bae [2 ,3 ]
Ahn, Sun Shin [1 ]
Lee, Kyoung Ja [4 ]
机构：
[1] Dongguk Univ, Dept Math Educ, Seoul 100715, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[4] Hannam Univ, Dept Math Educ, Taejon 306791, South Korea
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2011年 / 2011卷
关键词：
SHADOWS;
D O I：
10.1155/2011/516418
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in d-algebras is established. The notions of a falling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d(#)-ideal of a d-algebra are introduced. Some fundamental properties are investigated. Relations among a falling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d(#)-ideal are stated. Characterizations of falling d-ideals and falling d(#)-ideals are discussed. A relation between a fuzzy d-subalgebra and a falling d-subalgebra is provided.
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收藏
页数：14
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