A Generalization of Subnexuses Based on $\mathcal{N}$-Structures

Morteza Norouzi, Ameneh Asadi, Young Bae Jun


In this paper, we generalize the concepts of ${\mathcal{N}}$-subnexuses of types $(\in, q)$, $(\in, \in \vee{q})$ and $(q, \in \vee {q})$, and introduce the notions of ${\mathcal{N}}$-subnexuses of types $(\in, q_{k})$, $(\in, \in \vee{q_{k}})$ and $(q, \in \vee {q_{k}})$. We investigate their basicproperties, characterize subnexuses by ${\mathcal{N}}$-subnexuses of type $(\in, \in \vee {q_{k}})$, and give some characterizations for${\mathcal{N}}$-subnexuses of types $(\in, q_{k})$ and $(q, \in \vee{q_{k}})$. Moreover, we define ${\mathcal{N}}$-subnexuses of type $(\overline{\in}, \overline{\in} \vee \overline{q_{k}})$ and discusson their different properties.

Full Text: PDF


  • There are currently no refbacks.

The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

Copyright 2020 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|