Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (06): 1287-1291.

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Properties of Soft Exact Sequences

WU Yue, MA Jing   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2019-04-08 Online:2019-11-26 Published:2019-11-20
  • Contact: MA Jing E-mail:jma@jlu.edu.cn

Abstract: By using module theory and the basic properties of soft modules, we discussed the decomposition properties of soft homomorphism. Firstly, we defined a single  soft homomorphism of  soft modules and soft exact sequence. Secondly, 
we proved that every soft homomorphism could  be decomposed into  the composition of an epimorphism and a monomorphism. Finally, we discussed the basic properties of soft exact sequences, and gave equivalent conditions 
for several kinds of simple soft modulus sequence to be exact, and constructed a new  soft exact sequence by using two soft exact sequences.

Key words: soft module, soft homomorphism, soft exact sequence

CLC Number: 

  • O153.3