JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (10): 11-15.doi: 10.6040/j.issn.1671-9352.0.2021.654

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Properties of amalgamated coproduct AEuclid ExtraCA@BA

LI Xiao-xia, QIAO Hu-sheng*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2022-10-06

Abstract: Let S be a monoid, A a right S-act and B a proper subact of A. The general amalgamated coproduct AEuclid ExtraCA@BA is investigated. If taking A be S, B is the proper right ideal of S, then amalgamated coproduct AEuclid ExtraCA@BA is exactly the important tool A(I)to study the homological classification of monoids. We discuss the equivalent characterizations of the amalgamated coproduct AEuclid ExtraCA@BA satisfying condition(E'), condition(EP), condition(PF), etc. Finally, the corresponding results of the A(I)is generalized.

Key words: amalgamated coproduct, right S-act, subact

CLC Number: 

  • O152.7
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