On fuzzy normed algebras

Volume 9, Issue 9, pp 5488--5496 http://dx.doi.org/10.22436/jnsa.009.09.16

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Authors

Tudor Bînzar - Department of Mathematics, Politehnica University of Timisoara, Regina Maria 1, RO-300004, Timisoara, Romania. Flavius Pater - Department of Mathematics, Politehnica University of Timisoara, Regina Maria 1, RO-300004, Timisoara, Romania. Sorin Nădăban - Department of Mathematics and Computer Science, Aurel Vlaicu University of Arad, Elena Dragoi 2, RO-310330, Arad, Romania.

Abstract

In this paper, a characterization for continuous product in a fuzzy normed algebra is established and it is proved that any fuzzy normed algebra is with continuous product. Another type of continuity for the product in a fuzzy normed algebras is introduced and studied. These concepts are illustrated by some examples. Also, the Cartesian product of fuzzy normed algebras is analyzed.

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Keywords

• Fuzzy normed algebra
• continuous product
• fuzzy normed linear space.

MSC

•  46S40
•  46H05

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