Soft nexuses

Authors:
D. Afkhami Taba;A. Hasankhani;M. Bolurian
Affiliations:
Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman-Branch, Kerman, Iran;Department of Mathematics, Islamic Azad University, Kerman-Branch, Iran;Department of Mathematics, University of Surrey, Guildford, Surrey, Gu2 7XH, United Kingdom
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

In this paper, we define soft nexuses over a nexus N. After that we define the notions cyclic soft nexus, prime and maximal soft subnexuses and we obtain some results about the above definitions. Finally, we define the integer number induced by soft nexus (@a,A) and denoted by |(@a,A)| and show that for any n@?@?, there exists soft nexus (@a,A), such that |(@a,A)|=n.