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On prime and semiprime generalized hyperaction of hypermonoid

  • Muhammad Shabir EMAIL logo and Salma Shaheen
Published/Copyright: June 7, 2017
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Abstract

In this paper, we introduce the notion of generalized hyperaction of hypermonoid (GHS-act) on a set, establish its basic properties and prove some fundamental results. We also define the notion of prime, semiprime, irreducible and maximal GHS-subacts and characterize hypermonoid in terms of these GHS-subacts.


(Communicated by Miroslav Ploščica)


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Received: 2015-1-25
Accepted: 2015-12-18
Published Online: 2017-6-7
Published in Print: 2017-6-27

© 2017 Mathematical Institute Slovak Academy of Sciences

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