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Left ϕ-biflatness and ϕ-biprojectivity of certain Banach algebras with applications | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 8، دوره 6، شماره 3، 2025، صفحه 279-287 اصل مقاله (422.54 K) | ||
| 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 Sciences, Ilam University, P.O. Box 69315-516, Ilam, Iran | ||
| چکیده | ||
| This paper continues the investigation initially begun in [24]. We show that left ϕ-biflatness and left ϕ-biprojectivity are closely related to the notions of left ϕ-amenability and ϕ-inner amenability. We characterize left ϕ-biprojectivity and left ϕ-biflatness of certain semigroup algebras and some algebras related to a locally compact group. We discuss non left ϕ-biflatness of some specified triangular Banach algebras. | ||
| کلیدواژهها | ||
| ϕ-biflatness؛ ϕ-biprojectivity؛ ϕ-inner amenability | ||
| مراجع | ||
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