<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

Publicado en línea: 31 dic 2018

Páginas: 109 - 126

Recibido: 14 nov 2017

Aceptado: 31 ene 2018

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

Palabras clave
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

Publicado en línea: 31 dic 2018

Páginas: 109 - 126

Recibido: 14 nov 2017

Aceptado: 31 ene 2018

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

Palabras clavehypernear-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.

Palabras clave
hypernear-ring, defect of distributivity, d.g. hypernear-ring, division hypernear-ring