Frobenius函子与X-Gorenstein投射对象

Frobenius functors and X-Gorenstein projective objects

摘要

令A是有足够投射对象的阿贝尔范畴,X是A的关于同构封闭且包含投射对象的类。本文主要研究在什么条件下Frobenius函子保持对象的X-Gorenstein投射维数,并且证明Frobenius函子保持对象的Ding投射维数。

Abstract

Let A be an abelian category with enough projective objects, and let X be a class of objects in A closed under isomorphism and containing the projective objects. The main purpose of this paper is to study under what conditions the Frobenius functors preserve the X-Gorenstein projective dimension of objects, and the conclusion that the Frobenius functors preserve the Ding projective dimension of objects is proved.

关键词

X-Gorenstein投射对象 / Forbenius函子 / X-Gorenstein投射维数 / Ding投射对象

Key words

X-Gorenstein projective objects / Frobenius functors / X-Gorenstein projective dimension / Ding projective objects

参考文献

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基金资助

国家自然科学基金资助项目(12271230)