JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (8): 14-19.doi: 10.6040/j.issn.1671-9352.0.2018.587

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Strong hyper deductive systems in hyper equality algebras

CHENG Xiao-yun1, XIN Xiao-long2   

  1. 1. School of Science, Xian Aeronautical University, Xian 710077, Shaanxi, China;
    2. School of Mathematics, Northwest University, Xian 710069, Shaanxi, China
  • Online:2019-08-20 Published:2019-07-03

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Abstract: Some types of strong hyper deductive systems in hyper equality algebras are introduced and investigated. Some representations of generated strong hyper deductive systems are given. Then, Two types of important strong hyper deductive systems, namely, implicative and positive implicative strong hyper deductive systems are studied. In particular, characterizations of them are given and the relations between them are discussed.

Key words: hyper equality algebra, strong hyper deductive system, generated strong hyper deductive system, (positive)implicative strong deductive system

CLC Number: 

  • O153
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