JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (2): 73-82.doi: 10.6040/j.issn.1671-9352.0.2017.313

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The projective objects in the category of Q-sup-algebras

WANG Hai-wei, ZHAO Bin*   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Received:2017-06-21 Online:2018-02-20 Published:2018-01-31

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Abstract: The concept of K-flat projective objects in the category of Q-sup-algebras is introduced, and we give some equivalent characterizations on the object. We prove that Q is a K-flat projective Q-sup-algebra if and only if Q has a coalgebra structure.

Key words: coalgebra, Q-sup-algebra, K-flat projective object

CLC Number: 

  • O153.1
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