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Left $\phi$-biflatness and $\phi$-biprojectivity of certain Banach algebras with applications | ||
| AUT Journal of Mathematics and Computing | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 26 فروردین 1403 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.22985.1211 | ||
| نویسندگان | ||
| Solaleh Salimi1؛ Amin Mahmoodi1؛ Mehdi Rostami2؛ Amir Sahami* 3 | ||
| 1Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran | ||
| 3Department of Mathematics Faculty of Basic Science, Ilam University, P.O. Box 69315-516 Ilam, Iran | ||
| چکیده | ||
| This paper continues the investigation initially begun for left $\phi$-biflatness and left $\phi$-biprojectivity. We show that left $\phi$-biflatness and left $\phi$-biprojectivity are closely related to the notions of left $\phi$-amenability and $\phi$-inner amenability. We characterize left $\phi$-biprojectivity and left $\phi$-biflatness of certain semigroup algebras and some algebras related to a locally compact group. We discuss non left $\phi$-biflatness of some specified triangular Banach algebras. | ||
| کلیدواژه‌ها | ||
| $\phi$-Biflatness؛ $\phi$-Biprojectivity؛ $\phi$-Inner amenability | ||
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آمار تعداد مشاهده مقاله: 226 |
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