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Division hypernear-rings

Sanja Jančić-Rašović

Sanja Jančić-Rašović

Department of Mathematics, Faculty of Natural Sciences and Mathematics, University of MontenegroMontenegro
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Jančić-Rašović, Sanja
 and 
Irina Cristea

Irina Cristea

Centre for Information Technologies and Applied Mathematics, University of Nova GoricaNova Gorica, Slovenia
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Cristea, Irina
  
Dec 31, 2018
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Published Online: Dec 31, 2018
Page range: 109 - 126
Received: Nov 14, 2017
Accepted: Jan 31, 2018
DOI: https://doi.org/10.2478/auom-2018-0036
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© 2018 Sanja Jančić-Rašović et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper is a continuation of our work on hypernear-rings with a defect of distributivity D. In particular, here we introduce and study a new subclass of hypernear-rings, called D-division hypernear-rings, establishing a necessary and sufficient condition such that a hypernear-ring with the defect D is a D-division hypernear-ring. Several properties and examples of these two subclasses of hypernear-rings are presented and discussed.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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