Redefined generalized fuzzy ideals of near-rings

被引:0
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作者
Jian-ming Zhan
Yun-qiang Yin
机构
[1] Hubei Institute for Nationalities,Department of Mathematics
[2] East China Institute of Technology,College of Mathematics and Information Sciences
关键词
Near-ring; subnear-ring (ideal); -fuzzy subnear-ring (ideal); prime (semiprime) (∈, ∈ ∨ q)-fuzzy subnear-ring (ideal); 16Y30; 16Y99;
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摘要
With a new idea, we redefine generalized fuzzy subnear-rings (ideals) of a near-ring and investigate some of its related properties. Some new characterizations are given. In particular, we introduce the concepts of strong prime (or semiprime) (∈, ∈ ∨ q)-fuzzy ideals of near-rings, and discuss the relationship between strong prime (or semiprime) (∈, ∈ ∨ q)-fuzzy ideals and prime (or semiprime) (∈, ∈ ∨ q)-fuzzy ideals of near-rings.
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页码:341 / 348
页数:7
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