مشخصات پژوهش

عنوان	INJECTIVITY AND PROJECTIVITY OF SOME CLASSES OF FRECHET ALGEBRAS
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	locally compact group, Frechet algebra, projective module, injective module, weight function, and projective limit.
چکیده	In this paper for a locally compact group $G$ and a decreasing sequence of weight functions $\{\omega_n\}$ on it with $\omega_n> 1$ ($n\in {\Bbb N}$)‎, ‎we show that Fr\'echet algebra $\cap_{n\in {\Bbb N}}L^\infty(G,\omega^{-1}_n)$ is projective if and only if $G$ is finite and Fr\'echet algebra $\cap_{n\in {\Bbb N}}C_0(G,\omega^{-1}_n)$ is projective (injective) if and only if $G$ is compact (finite)‎. ‎Similar result will be shown for Fr\'echet algebra $\cap_{n\in {\Bbb N}}L_0^\infty(G,\omega^{-1}_n)$‎.
پژوهشگران	اسمعیل فیضی (نفر اول)، جواد سلیمانی (نفر دوم)