基域扩张下的倾斜代数
Tilted Algebras under Base Field Extensions
摘要:
本文讨论了倾斜代数在基本域扩张下的倾斜不变性。设K是一个代数封闭域，A是一个有限维K-代数，F是一个可分K-扩张。本文主要证明A是倾斜代数当且仅当A⊗
KF是倾斜代数。
Abstract:
In this paper, we study the invariant properties of tilted algebras under base field extensions. Let K be an algebraic closed field, A be a finite-dimensional K-algebra, and F be a separable extension of K. We prove that A is a tilted algebra if and only if so is A⊗KF .
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