Some Results on Various Cancellative CA-Groupoids and Variant CA-Groupoids

Released on by Zhirou Ma
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  • Some Results on Various Cancellative CA-Groupoids and Variant CA-Groupoids Book Detail

  • Author : Zhirou Ma
  • Release Date :
  • Publisher : Infinite Study
  • Genre : Mathematics
  • Pages : 21
  • ISBN 13 :
  • File Size : 11,11 MB
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Some Results on Various Cancellative CA-Groupoids and Variant CA-Groupoids by Zhirou Ma PDF Summary

Book Description: Cyclic associativity can be regarded as a kind of variation symmetry, and cyclic associative groupoid (CA-groupoid) is a generalization of commutative semigroup. In this paper, the various cancellation properties of CA-groupoids, including cancellation, quasi-cancellation and power cancellation, are studied. The relationships among cancellative CA-groupoids, quasi-cancellative CA-groupoids and power cancellative CA-groupoids are found out. Moreover, the concept of variant CA-groupoid is proposed firstly, some examples are presented. It is shown that the structure of variant CA-groupoid is very interesting, and the construction methods and decomposition theorem of variant CA-groupoids are established.

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