Properties of a Complete Fuzzy Normed Algebra

Properties of a Complete Fuzzy Normed Algebra

          The aim of this paper is to translate the basic properties of the classical complete normed algebra to the complete fuzzy normed algebra at this end a proof of multiplication fuzzy continuous is given. Also a proof of every fuzzy normed algebra  without identity can be embedded into fuzzy...

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Main Author: Kider et al.
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2019-06-01
Series:Baghdad Science Journal
Subjects:
Complete fuzzy normed algebra, Fuzzy bounded operator, Fuzzy norm of operator, The ω^*-fuzzy topology, A character.
Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3471
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spelling doaj-a36d01ab7d764a1db625535781264f392020-11-25T01:48:02ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862019-06-0116210.21123/bsj.16.2.0382Properties of a Complete Fuzzy Normed AlgebraKider et al.           The aim of this paper is to translate the basic properties of the classical complete normed algebra to the complete fuzzy normed algebra at this end a proof of multiplication fuzzy continuous is given. Also a proof of every fuzzy normed algebra  without identity can be embedded into fuzzy normed algebra  with identity  and  is an ideal in  is given. Moreover the proof of the resolvent set of a non zero element in complete fuzzy normed space is equal to the set of complex numbers is given. Finally basic properties of the resolvent space of a complete fuzzy normed algebra is given. http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3471Complete fuzzy normed algebra, Fuzzy bounded operator, Fuzzy norm of operator, The ω^*-fuzzy topology, A character.
collection DOAJ
language Arabic
format Article
sources DOAJ
author Kider et al.
spellingShingle Kider et al.
Properties of a Complete Fuzzy Normed Algebra
Baghdad Science Journal
Complete fuzzy normed algebra, Fuzzy bounded operator, Fuzzy norm of operator, The ω^*-fuzzy topology, A character.
author_facet Kider et al.
author_sort Kider et al.
title Properties of a Complete Fuzzy Normed Algebra
title_short Properties of a Complete Fuzzy Normed Algebra
title_full Properties of a Complete Fuzzy Normed Algebra
title_fullStr Properties of a Complete Fuzzy Normed Algebra
title_full_unstemmed Properties of a Complete Fuzzy Normed Algebra
title_sort properties of a complete fuzzy normed algebra
publisher College of Science for Women, University of Baghdad
series Baghdad Science Journal
issn 2078-8665
2411-7986
publishDate 2019-06-01
description           The aim of this paper is to translate the basic properties of the classical complete normed algebra to the complete fuzzy normed algebra at this end a proof of multiplication fuzzy continuous is given. Also a proof of every fuzzy normed algebra  without identity can be embedded into fuzzy normed algebra  with identity  and  is an ideal in  is given. Moreover the proof of the resolvent set of a non zero element in complete fuzzy normed space is equal to the set of complex numbers is given. Finally basic properties of the resolvent space of a complete fuzzy normed algebra is given.
topic Complete fuzzy normed algebra, Fuzzy bounded operator, Fuzzy norm of operator, The ω^*-fuzzy topology, A character.
url http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3471
work_keys_str_mv AT kideretal propertiesofacompletefuzzynormedalgebra
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