تعداد نشریات | 418 |
تعداد شمارهها | 10,005 |
تعداد مقالات | 83,629 |
تعداد مشاهده مقاله | 78,557,355 |
تعداد دریافت فایل اصل مقاله | 55,728,825 |
On character amenability of weighted convolution algebras on certain semigroups | ||
Mathematical Analysis and its Contemporary Applications | ||
دوره 3، شماره 2، شهریور 2021، صفحه 15-26 اصل مقاله (338.27 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.30495/maca.2021.1928647.1007 | ||
نویسنده | ||
Kobra Oustad* | ||
Department of Mathematics, Dehdasht Branch, Islamic Azad University, Dehdasht, Iran | ||
چکیده | ||
In this work, we study the character amenability of weighted convolution algebras $\ell^{1} (S,\omega)$, where $ S $ is a semigroup of classes of inverse semigroups with a uniformly locally finite idempotent set, inverse semigroups with a finite number of idempotents, Clifford semigroups and Rees matrix semigroups. We show that for inverse semigroup with a finite number of idempotents and any weight $ \omega $, $\ell^{1} (S,\omega)$ is character amenable if each maximal semigroup of $ S $ is amenable. Then for a commutative semigroup $ S $ and $ \omega(x)\geq 1$, for all $ x\in S $. Moreover, we show that character amenability of $\ell^{1} (S,\omega)$ implies that $ S $ is a Clifford semigroup. Finally, we investigate the character amenability of the weighted convolution algebra $ \ell^{1} (S,\omega)$, and its second dual for a Rees matrix semigroup. | ||
کلیدواژهها | ||
Character amenability؛ Rees matrix semigroup؛ Weighted Rees matrix semigroup algebra؛ Clifford semigroup | ||
آمار تعداد مشاهده مقاله: 127 تعداد دریافت فایل اصل مقاله: 161 |