N-SUBALGEBRAS OF TYPE (is an element of,is an element of boolean OR q) BASED ON POINT N-STRUCTURES IN BCK/BCI-ALGEBRAS

被引:5
|
作者
Lee, Kyoung Ja [1 ]
Jun, Young Bae [2 ,3 ]
Zhang, Xiaohong [4 ]
机构
[1] Hannam Univ, Dept Math Educ, Daejeon 306791, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[4] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
来源
关键词
point N-structure; closed (resp. open) support; q-support; is an element of Vq-support; N-subalgebra of types(is an element of; is an element of Vq); ((is an element of)over-bar; (is an element of)over-bar V(q)over-bar);
D O I
10.4134/CKMS.2012.27.3.431
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Characterizations of N-subalgebra of type ( is an element of,is an element of Vq) are provided. The notion of N-subalgebras of type ((is an element of) over bar,(is an element of) over bar V (q) over bar) is introduced, and its characterizations are discussed. Conditions for an N-subalgebra of type ( is an element of,is an element of Vq) (resp. ((is an element of) over bar,(is an element of) over bar V (q) over bar ) to be an N-subalgebra of type (is an element of,is an element of) are considered.
引用
收藏
页码:431 / 439
页数:9
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    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
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    Borzooei, Rajab Aali
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    [J]. SOFT COMPUTING, 2021, 25 (20) : 12789 - 12795
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    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
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    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2011, 2 (01): : 130 - 140
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