مشخصات پژوهش

عنوان	Some generalized notions of homological algebras related to a character
نوع پژوهش	مقاله ارائه شده کنفرانسی
کلیدواژه‌ها	Banach algebra‎, ‎$\phi$-biflatness‎, ‎$\phi$-biprojectivity‎, ‎$\phi$-amenability‎, ‎$\phi$-inner ‎‎‎amenablility
چکیده	In this paper‎, ‎we introduce the new notions of $\phi$-biflatness‎, ‎$\phi$-biprojectivity‎, ‎$\phi$-Johnson amenability and $\phi$-Johnson‎ ‎contractibility for Banach algebras‎, ‎where $\phi$ is a non-zero‎ ‎homomorphism from a Banach algebra $A$ into $\mathbb{C}$‎. ‎We show‎ ‎that a Banach algebra $A$ is $\phi$-Johnson amenable if and only if‎ ‎it is $\phi$-inner amenable and $\phi$-biflat‎. ‎Also we show that‎ ‎$\phi$-Johnson amenability is equivalent with the existence of left‎ ‎and right $\phi$-means for $A$‎. ‎We give some examples to show‎ ‎differences between these new notions and the classical ones‎. ‎Finally‎, ‎we show that ${L^{1}(G)}$ is $\phi$-biflat if and only if‎ ‎$G$ is an amenable group and $A(G)$ is $\phi$-biprojective if and‎ ‎only if $G$ is a discrete group‎.
پژوهشگران	اسحاق الماسی (نفر سوم)، اقبال قادری (نفر دوم)، امیر سهامی (نفر اول)