Normalizer and centralizer of soft sets on groups

Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (20): 122-125.

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Normalizer and centralizer of soft sets on groups

YIN Xia, LIAO Zuhua, ZHANG Licheng, ZHU Xiaoying

School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China

Online:2013-10-15 Published:2013-10-30

群上软集的正规化子与中心化子

殷霞，廖祖华，章里程，朱晓英

江南大学理学院，江苏无锡 214122

Abstract

Abstract: The concepts of normalizer and centralizer of soft sets are introduced and some basic properties of normalizer and centralizer of soft sets are obtained. Furthermore, the relations between the image of normalizer（centralizer） of soft sets and the normalizer（centralizer） of the image of soft sets are discussed, also as the preimages.

Key words: soft sets, normalizer, centralizer, homomorphisms

摘要： 定义了群上软集的正规化子与中心化子的概念，研究了群上软集的正规化子与中心化子的基本性质，进一步得到了群的同态映射之下，软集的正规化子（中心化子）的像与软集的像的正规化子（中心化子）之间的关系，软集的正规化子（中心化子）的原像与软集的原像的正规化子（中心化子）之间的关系。

关键词: 软集, 正规化子, 中心化子, 同态

YIN Xia, LIAO Zuhua, ZHANG Licheng, ZHU Xiaoying. Normalizer and centralizer of soft sets on groups[J]. Computer Engineering and Applications, 2013, 49(20): 122-125.

殷霞，廖祖华，章里程，朱晓英. 群上软集的正规化子与中心化子[J]. 计算机工程与应用, 2013, 49(20): 122-125.

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Normalizer and centralizer of soft sets on groups

群上软集的正规化子与中心化子

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