Gorenstein平坦模和右拟Frobenius扩张
Gorenstein Flat Modules and Quasi-Frobenius Extensions
DOI: 10.12677/PM.2023.131014, PDF,    科研立项经费支持
作者: 孙菊香：商丘师范学院数学与统计学院，河南 商丘
关键词: Gorensrin平坦模；Gorenstein平坦维数；右(左)拟Frobenius扩张；Gorenstein Flat Module； Gorenstein Flat Dimension； Right (Left) Quasi-Frobenius Extension
摘要: 作为环的Frobenius扩张的非平凡推广，B. Muller引入了环的右(左)拟Frobenius扩张。本文通过建立凝聚环和它的右拟Frobenius扩张的Gorenstein平坦模的联系，探讨了右拟Frobenius扩张下模的Gorenstein平坦维数之间的关系。
Abstract: As a nontrivial generalization of Frobenius extensions of rings, B. Muller introduced the concept of right (left) quasi-Frobenius extensions of rings. In this paper, we study the relationship between Gorenstein flat dimensions under right Quasi-Frobenius extension modules by establishing relations between condensation ring and Gorenstein flat modules linked by the right Quasi-Frobenius extensions of rings.
文章引用：孙菊香. Gorenstein平坦模和右拟Frobenius扩张[J]. 理论数学, 2023, 13(1): 120-123. https://doi.org/10.12677/PM.2023.131014

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