ON 2-STRONG HOMOMORPHISMS AND 2-NORMED HYPERSETS IN HYPERVECTOR SPACES

Volume 1, Issue 4, pp 213-223 http://dx.doi.org/10.22436/jnsa.001.04.03

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Authors

P. RAJA - Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran. Fax: +98-21-66497930.. S. M. VAEZPOUR - Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran. Fax: +98-21-66497930..

Abstract

In this paper the notion of a 2-normed hyperset in hypervector spaces is introduced. Also we construct some special 2-normed hypersets of strong homomorphisms over hypervector spaces. Among other results we consider 2-strong homomorphisms and investigate some of their properties.

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Keywords

• invex set
• invex set
• Hypervector space
• Strong homomorphism.

MSC

•  46A32
•  46A99.

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