ON CONATURAL CLASSES AND COTYPE SUBMODULES

Volume: 11 Number: 11 June 1, 2012
  • Alejandro Alvarado-garcía
  • Hugo Alberto Rincón-mejía
  • José Ríos-montes
  • Bertha Tomé-arreola
EN

ON CONATURAL CLASSES AND COTYPE SUBMODULES

Abstract

The concepts of cotype submodule and cotype dimension of a module are introduced, their basic properties are studied, and a characterization of the amply supplemented modules with finite cotype dimension is given.

Keywords

References

  1. A. Alvarado-Garc´ıa, H. A. Rinc´on-Mej´ıa and J. R´ıos-Montes, On the lattices of natural and conatural classes in R-mod, Comm. Algebra, 29(2) (2001), 541
  2. A. Alvarado-Garc´ıa, H. A. Rinc´on-Mej´ıa and J. R´ıos-Montes, On some lattices of module classes, J. Algebra Appl., 5(1) (2006), 105-117.
  3. F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Second Edition, Springer-Verlag, 1992.
  4. J. Clark, C. Lomp, N. Vanaja, and R. Wisbauer, Lifting Modules. Supplements and Projectivity in Module Theory, Frontiers in Mathematics, Birkh¨auser Ver- lag, Basel, 2006.
  5. I. Crivei and S. Crivei, Associated classes of modules, Stud. Univ. Babe¸s-Bolyai Math., 54(2) (2009), 23-32.
  6. S. Crivei and B. Torrecillas, On some monic covers and epic envelopes, Arab. J. Sci. Eng. Sect. C, 33(2) (2008), 123-135.
  7. J. Dauns and Y. Zhou, Classes of Modules, Pure and Applied Mathematics (Boca Raton), 281. Chapman & Hall/CRC, Boca Raton, FL, 2006.
  8. F. Kasch, Modules and Rings, Academic Press Inc. (London) Ltd, 1982.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Alejandro Alvarado-garcía This is me

Hugo Alberto Rincón-mejía This is me

José Ríos-montes This is me

Bertha Tomé-arreola This is me

Publication Date

June 1, 2012

Submission Date

June 1, 2012

Acceptance Date

-

Published in Issue

Year 2012 Volume: 11 Number: 11

APA
Alvarado-garcía, A., Rincón-mejía, H. A., Ríos-montes, J., & Tomé-arreola, B. (2012). ON CONATURAL CLASSES AND COTYPE SUBMODULES. International Electronic Journal of Algebra, 11(11), 64-81. https://izlik.org/JA78AG22SM
AMA
1.Alvarado-garcía A, Rincón-mejía HA, Ríos-montes J, Tomé-arreola B. ON CONATURAL CLASSES AND COTYPE SUBMODULES. IEJA. 2012;11(11):64-81. https://izlik.org/JA78AG22SM
Chicago
Alvarado-garcía, Alejandro, Hugo Alberto Rincón-mejía, José Ríos-montes, and Bertha Tomé-arreola. 2012. “ON CONATURAL CLASSES AND COTYPE SUBMODULES”. International Electronic Journal of Algebra 11 (11): 64-81. https://izlik.org/JA78AG22SM.
EndNote
Alvarado-garcía A, Rincón-mejía HA, Ríos-montes J, Tomé-arreola B (June 1, 2012) ON CONATURAL CLASSES AND COTYPE SUBMODULES. International Electronic Journal of Algebra 11 11 64–81.
IEEE
[1]A. Alvarado-garcía, H. A. Rincón-mejía, J. Ríos-montes, and B. Tomé-arreola, “ON CONATURAL CLASSES AND COTYPE SUBMODULES”, IEJA, vol. 11, no. 11, pp. 64–81, June 2012, [Online]. Available: https://izlik.org/JA78AG22SM
ISNAD
Alvarado-garcía, Alejandro - Rincón-mejía, Hugo Alberto - Ríos-montes, José - Tomé-arreola, Bertha. “ON CONATURAL CLASSES AND COTYPE SUBMODULES”. International Electronic Journal of Algebra 11/11 (June 1, 2012): 64-81. https://izlik.org/JA78AG22SM.
JAMA
1.Alvarado-garcía A, Rincón-mejía HA, Ríos-montes J, Tomé-arreola B. ON CONATURAL CLASSES AND COTYPE SUBMODULES. IEJA. 2012;11:64–81.
MLA
Alvarado-garcía, Alejandro, et al. “ON CONATURAL CLASSES AND COTYPE SUBMODULES”. International Electronic Journal of Algebra, vol. 11, no. 11, June 2012, pp. 64-81, https://izlik.org/JA78AG22SM.
Vancouver
1.Alejandro Alvarado-garcía, Hugo Alberto Rincón-mejía, José Ríos-montes, Bertha Tomé-arreola. ON CONATURAL CLASSES AND COTYPE SUBMODULES. IEJA [Internet]. 2012 Jun. 1;11(11):64-81. Available from: https://izlik.org/JA78AG22SM