Characterization of relative projectives and relative injectives

Authors

DOI:

https://doi.org/10.17268/sel.mat.2020.02.10

Keywords:

Projective class, injective class, ring change functor, relative projective and relative injective

Abstract

In this article, given a ring homomorphism F: R -->S, the relative projectives and relative injectives are characterized. An S - module is relative projective if and only if it is retract of SxR C; An S -  module is relative injective if and only if it is retract of HomR(S;C).

References

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Ccolque Taipe FC. Sucesiones Espectrales, Homología de Complejos Filtrados y Derivación de Funtores Compuestos. [Tesis de maestría]. Lima: Facultad de Ciencias, Universidad Nacional de Ingeniería; 2009.

Ccolque F.C. Tópicos de Álgebra y Categorías. Lima: Centro de Producción Imprenta de la Universidad Nacional Mayor de San Marcos; 2018.

Mitchell B. Theory of Categories. Volume 17.New York and London: Academic Press, Inc; 1965.

Gentile ER. Estructuras Algebraicas II.Washington, D.C.: Secretaría General de la Organización de Estados Americanos; 1971.

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Published

2020-12-25

How to Cite

Ccolque Taipe, F. C. (2020). Characterization of relative projectives and relative injectives. Selecciones Matemáticas, 7(02), 276-288. https://doi.org/10.17268/sel.mat.2020.02.10

Issue

Vol. 7 No. 02 (2020): August - December

Section

Articles

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