WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES

A. Alvarado García; H. Alberto Rincón Mejía; José Ríos Montes

EN

WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES

Abstract

This paper concerns with the study of pretorsion classes and pretorsion free classes considered as big lattices, ordered by class inclusion. We obtain structural results about these lattices and we apply them to characterize the rings for which these lattices coincide, as the Artinian principal ideal rings.

Keywords

lattices, pretorsion classes, pretorsion free classes, Artinian principal ideal rings, preradicals

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

A. Alvarado García This is me

H. Alberto Rincón Mejía This is me

José Ríos Montes This is me

Publication Date

December 1, 2011

Submission Date

December 1, 2011

Acceptance Date

-

Published in Issue

Year 2011 Volume: 10 Number: 10

IZ

https://izlik.org/JA59YN22JU

Cite

RIS / Bibtex

APA

García, A. A., Mejía, H. A. R., & Montes, J. R. (2011). WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES. International Electronic Journal of Algebra, 10(10), 56-64. https://izlik.org/JA59YN22JU

AMA

1.García AA, Mejía HAR, Montes JR. WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES. IEJA. 2011;10(10):56-64. https://izlik.org/JA59YN22JU

Chicago

García, A. Alvarado, H. Alberto Rincón Mejía, and José Ríos Montes. 2011. “WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES”. International Electronic Journal of Algebra 10 (10): 56-64. https://izlik.org/JA59YN22JU.

EndNote

García AA, Mejía HAR, Montes JR (December 1, 2011) WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES. International Electronic Journal of Algebra 10 10 56–64.

IEEE

[1]A. A. García, H. A. R. Mejía, and J. R. Montes, “WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES”, IEJA, vol. 10, no. 10, pp. 56–64, Dec. 2011, [Online]. Available: https://izlik.org/JA59YN22JU

ISNAD

García, A. Alvarado - Mejía, H. Alberto Rincón - Montes, José Ríos. “WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES”. International Electronic Journal of Algebra 10/10 (December 1, 2011): 56-64. https://izlik.org/JA59YN22JU.

JAMA

1.García AA, Mejía HAR, Montes JR. WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES. IEJA. 2011;10:56–64.

MLA

García, A. Alvarado, et al. “WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES”. International Electronic Journal of Algebra, vol. 10, no. 10, Dec. 2011, pp. 56-64, https://izlik.org/JA59YN22JU.

Vancouver

1.A. Alvarado García, H. Alberto Rincón Mejía, José Ríos Montes. WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES. IEJA [Internet]. 2011 Dec. 1;10(10):56-64. Available from: https://izlik.org/JA59YN22JU