In this paper,the Alprin's conjecture is verified for △- tilt algebras,where △ is not a wild quiver;and a necessary and sufficient condition for F(X)being resolving is also given,where X is an exceptional sequen...In this paper,the Alprin's conjecture is verified for △- tilt algebras,where △ is not a wild quiver;and a necessary and sufficient condition for F(X)being resolving is also given,where X is an exceptional sequence over a hereditary algebra.展开更多
In this paper, let A be a finite dimensional associative algebra over an algebraically closed field h, modA be the category of finite dimensional left A-module and X1,X2,... ,X2, in modA be a complete exceptional sequ...In this paper, let A be a finite dimensional associative algebra over an algebraically closed field h, modA be the category of finite dimensional left A-module and X1,X2,... ,X2, in modA be a complete exceptional sequence, and let E be the endomorphism algebra of X1, X2,..., Xn. We study the global dimension of E, and calculate the Hochschild cohomology and homology groups of E.展开更多
文摘In this paper,the Alprin's conjecture is verified for △- tilt algebras,where △ is not a wild quiver;and a necessary and sufficient condition for F(X)being resolving is also given,where X is an exceptional sequence over a hereditary algebra.
基金the National Natural Science Foundation of China （No. 10371036 10671061）+2 种基金 the Natural Science Foundation of Beijing （1042001） the Fund of Beijing Education Committee （No. KM200610005024） Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality and the Fundamental reseaxch Fund of Beijing University of Technology.
文摘In this paper, let A be a finite dimensional associative algebra over an algebraically closed field h, modA be the category of finite dimensional left A-module and X1,X2,... ,X2, in modA be a complete exceptional sequence, and let E be the endomorphism algebra of X1, X2,..., Xn. We study the global dimension of E, and calculate the Hochschild cohomology and homology groups of E.
