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On the Wielandt and Bhatt-Dedania Theorems | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 19, Volume 18, Issue 2, December 2024, Pages 148-149 PDF (307.45 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2024.153016.1141 | ||
| Authors | ||
| Ekram Mohammed Abdullah* 1; Marwan A. Jardo2; Amir A. Mohammed3 | ||
| 1Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Iraq | ||
| 2قسم الریاضیات/ کلیة التربیة للعلوم الصرفة/جامعة الموصل/موصل/العراق | ||
| 3Department of Mathematics, College of Education For pure Sciences, University of Mosul | ||
| Abstract | ||
| In this paper, we generalize a norm topology in Wielandt’s theorem for unital normed algebras and in Bhatt-Dedania’s theorem for Banach algebras, with each element being a zero topological divisor, by using 2-normed algebra and 2-Banach algebra, respectively. In this paper, we generalize a norm topology in Wielandt’s theorem for unital normed algebras and in Bhatt-Dedania’s theorem for Banach algebras, with each element being a zero topological divisor, by using 2-normed algebra and 2-Banach algebra, respectively. In this paper, we generalize a norm topology in Wielandt’s theorem for unital normed algebras and in Bhatt-Dedania’s theorem for Banach algebras, with each element being a zero topological divisor, by using 2-normed algebra and 2-Banach algebra, respectively. | ||
| Keywords | ||
| 2-normed algebra; 2-Banach algebra; zero topological divisor | ||
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