Algebra fuzzy norms generated by homomorphisms
As a new approach, for a nonzero normed algebra $A$, we will define some different classes of algebra fuzzy norms on $A$ generated by homomorphisms and continuous homomorphisms. Also as a source of examples and counterexamples in the field of fuzzy normed algebras, separate continuity of the elem...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2025-01-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_4179_88b2476b60ad77d678778962606b144c.pdf |
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| _version_ | 1841560175072247808 |
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| author | Ali Reza Khoddami Fatemeh Kouhsari |
| author_facet | Ali Reza Khoddami Fatemeh Kouhsari |
| author_sort | Ali Reza Khoddami |
| collection | DOAJ |
| description | As a new approach, for a nonzero normed algebra $A$, we will define some different classes of algebra fuzzy norms on $A$ generated by homomorphisms and continuous homomorphisms. Also as a source of examples and counterexamples in the field of fuzzy normed algebras, separate continuity of the elements within each class are investigated. |
| format | Article |
| id | doaj-art-3c6eb4573a034e958c8b023882d2f846 |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-3c6eb4573a034e958c8b023882d2f8462025-01-04T19:30:18ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052025-01-01141234410.22103/jmmr.2024.22657.15504179Algebra fuzzy norms generated by homomorphismsAli Reza Khoddami0Fatemeh Kouhsari1Faculty of Mathematical Sciences, Shahrood University of Technology, P.O.Box: 3619995161-316, Shahrood, IranFaculty of Mathematical Sciences, Shahrood University of Technology, P.O.Box: 3619995161-316, Shahrood, IranAs a new approach, for a nonzero normed algebra $A$, we will define some different classes of algebra fuzzy norms on $A$ generated by homomorphisms and continuous homomorphisms. Also as a source of examples and counterexamples in the field of fuzzy normed algebras, separate continuity of the elements within each class are investigated.https://jmmrc.uk.ac.ir/article_4179_88b2476b60ad77d678778962606b144c.pdflinear functionalfuzzy normed algebrahomomorphismseparate continuity |
| spellingShingle | Ali Reza Khoddami Fatemeh Kouhsari Algebra fuzzy norms generated by homomorphisms Journal of Mahani Mathematical Research linear functional fuzzy normed algebra homomorphism separate continuity |
| title | Algebra fuzzy norms generated by homomorphisms |
| title_full | Algebra fuzzy norms generated by homomorphisms |
| title_fullStr | Algebra fuzzy norms generated by homomorphisms |
| title_full_unstemmed | Algebra fuzzy norms generated by homomorphisms |
| title_short | Algebra fuzzy norms generated by homomorphisms |
| title_sort | algebra fuzzy norms generated by homomorphisms |
| topic | linear functional fuzzy normed algebra homomorphism separate continuity |
| url | https://jmmrc.uk.ac.ir/article_4179_88b2476b60ad77d678778962606b144c.pdf |
| work_keys_str_mv | AT alirezakhoddami algebrafuzzynormsgeneratedbyhomomorphisms AT fatemehkouhsari algebrafuzzynormsgeneratedbyhomomorphisms |