<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper is a continuation of our work on hypernear-rings with a defect of distributivity <italic>D</italic>. In particular, here we introduce and study a new subclass of hypernear-rings, called <italic>D</italic>-division hypernear-rings, establishing a necessary and sufficient condition such that a hypernear-ring with the defect <italic>D</italic> is a <italic>D</italic>-division hypernear-ring. Several properties and examples of these two subclasses of hypernear-rings are presented and discussed.</p></abstract>

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.

Division hypernear-rings

Department of Mathematics, Faculty of Natural Sciences and Mathematics

Centre for Information Technologies and Applied Mathematics

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Division hypernear-rings"}

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...

Division hypernear-rings

Publié en ligne: 31 déc. 2018

Pages: 109 - 126

Reçu: 14 nov. 2017

Accepté: 31 janv. 2018

DOI: https://doi.org/10.2478/auom-2018-0036

Mots clés
hypernear-ring, defect of distributivity, d.g. hypernear-ring, division hypernear-ring

© 2018 Sanja Jančić-Rašović et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Division hypernear-rings

Publié en ligne: 31 déc. 2018

Pages: 109 - 126

Reçu: 14 nov. 2017

Accepté: 31 janv. 2018

DOI: https://doi.org/10.2478/auom-2018-0036

Mots cléshypernear-ring, defect of distributivity, d.g. hypernear-ring, division hypernear-ring

© 2018 Sanja Jančić-Rašović et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
hypernear-ring, defect of distributivity, d.g. hypernear-ring, division hypernear-ring