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Ideals and atoms of <Emphasis Type="Italic">BZ</Emphasis>-algebras |
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| Authors: | Wies?aw A Dudek Xiaohong Zhang Yongquan Wang |
| Institution: | (1) Institute of Mathematic and Computer Science, Wroclaw University of Technology, Wyb. Wyspianskiego 27, PL-50-370 Wroclaw, Poland;(2) Faculty of Science, Ningbo University, Ningbo, 315211, Zhejiang Province, Peoples republic of China;(3) School of Information Science and Technology, East China University of Political Science and Law, Shanghai, 200042, P. R. China |
| Abstract: | Ideals and atoms are studied by various authors from different point of views. In different algebras there are studied different ideals, but obtained results are similar. Below we present a new method of study of ideals in BZ-algebras. Using this method we describe the connection between ideals of various types. Supported by Natural Science Foundation of China (Grant No. 60775038). |
| Keywords: | BZ-algebra BZ-ideal closed ideal (*)-ideal strong ideal regular ideal atom |
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