Total rings of fractions and Hermite rings

In this paper, we show general properties of total rings of fractions and of Hermite rings. We study the relationships between those rings and the finite dimensional K−algebras. A finite dimensional K−algebra is a commutative algebra with unit such that this is finite dimensional as vector space...

全面介绍

书目详细资料
Main Authors: Granados Pinzón, Claudia, Olaya León, Wilson
格式: Online
语言:spa
出版: Universidad Pedagógica y Tecnológica de Colombia 2020
主题:
在线阅读:https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10223
实物特征
总结:In this paper, we show general properties of total rings of fractions and of Hermite rings. We study the relationships between those rings and the finite dimensional K−algebras. A finite dimensional K−algebra is a commutative algebra with unit such that this is finite dimensional as vector space over a field K. We proof that the finite dimensional K−algebras are total rings of fractions and also Hermite rings. In addition, we show that direct product of fields is another example of total ring of fractions and Hermite ring.