مشخصات پژوهش

عنوان	Homological properties of some class of Fréchet algebras
نوع پژوهش	مقاله ارائه شده کنفرانسی
کلیدواژه‌ها	Fréchet algebra, Beurling algebra, projective module, weight function, projective limit.
چکیده	Let G be a locally compact group and {wn} be a sequence of decreasing continuous weight functions on G with condition w_n>=1  1 for all n in N. We introduce the Fréchet algebras L^1(w) ,L^1_0 (w) and C_0(w). The aim of this talk is to study the homology properties of these Fréchet algebras related to G. For example, we show that the Fréchet algebra L1(w) is projective if and only if every Banach algebra L1(G,w) is projective for all n in N.
پژوهشگران	اسمعیل فیضی (نفر اول)، جواد سلیمانی (نفر دوم)