JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (08): 57-61.doi: 10.6040/j.issn.1671-9352.0.2014.394

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Soft quotient Boolean algebra of Boolean algebra

LIU Wei-feng   

  1. Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, Henan, China
  • Received:2014-09-06 Online:2015-08-20 Published:2015-07-31

Abstract: The concepts of soft congruence relation, soft quotient algebra and soft quotient Boolean algebra of Boolean algebra are defined, and it is proved that soft congruence relation and soft ideal of Boolean algebra can be determined by each other. Then soft quotient Boolean algebra of Boolean algebra is obtained from soft proper ideal of Boolean algebra. Finally, the nature of preserving soft congruence relation of soft homomorphism of Boolean algebras is proved.

Key words: Boolean algebra, soft Boolean algebra, soft ideal, soft quotient Boolean algebra

CLC Number: 

  • O174
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