$Total rings of fractions and Hermite rings$

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...

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Bibliographic Details
Main Authors:	Granados Pinzón, Claudia, Olaya León, Wilson
Format:	Online
Language:	spa
Published:	Universidad Pedagógica y Tecnológica de Colombia 2020
Subjects:	Localización, producto directo de anillos, anillo de Hermite y $K-$álgebra finita. Localization, direct product of rings, Hermite ring and finite dimensional $K-$algebra
Online Access:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10223

Description
Summary:	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.