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Dergiler / International Electronic Journal of Algebra / 2012 / Cilt: 11 - Sayı: 11

ON CONATURAL CLASSES AND COTYPE SUBMODULES

Alejandro Alvarado-García
Hugo Alberto Rincón-Mejía
José Ríos-Montes
Bertha Tomé-Arreola
Sayfa
64–81
Yayın Tarihi
2012-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:conatural class · cotype submodule · cotype dimension

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.

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Bu Makaleye Atıf Yap

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, Cilt: 11 - Sayı: 11, 64–81. https://ajindex.com/articles/832471

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Kaynakça (14)

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  2. F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Second Edition, Springer-Verlag, 1992.
  3. 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.
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  5. S. Crivei and B. Torrecillas, On some monic covers and epic envelopes, Arab. J. Sci. Eng. Sect. C, 33(2) (2008), 123-135.
  6. J. Dauns and Y. Zhou, Classes of Modules, Pure and Applied Mathematics (Boca Raton), 281. Chapman & Hall/CRC, Boca Raton, FL, 2006.
  7. F. Kasch, Modules and Rings, Academic Press Inc. (London) Ltd, 1982.
  8. A. I. Kashu, On natural classes of R-modules in the language of ring R, Bul. Acad. S¸tiinte Repub. Mold. Mat., 2(45) (2004), 95-101.
  9. A. I. Kashu, On the lattice of closed classes of modules, Bul. Acad. S¸tiinte Repub. Mold. Mat., 2(48) (2005), 43-50.
  10. A. I. Kashu, Natural classes and torsion free classes in categories of modules, Bul. Acad. S¸tiinte Repub. Mold. Mat., 3(52) (2006), 101-108.
  11. A. I. Kashu, On natural and conatural sets of left ideals of a ring, Bul. Acad. S¸tiinte Repub. Mold. Mat., 2(54) (2007), 25-32.
  12. D. Keskin, On lifting modules, Comm. Algebra, 28 (2000), 3427-3440.
  13. R. Wisbauer, Foundations of Module and Ring Theory: A handbook for study and research, Gordon and Breach Science Publishers, 1991.
  14. Y. Zhou, Decomposing modules into direct sums of submodules with types, J. Pure Appl. Algebra, 138 (1999), 83-97. Alejandro Alvarado-Garc´ıa, Hugo Alberto Rinc´on-Mej´ıa, Bertha Tom´e-Arreola Facultad de Ciencias Universidad Nacional Aut´onoma de M´exico Circuito Exterior, C.U. M´exico D.F. e-mails: [email protected] (A. Alvarado) [email protected] (H. Rinc´on) [email protected] (B. Tom´e) Jos´e R´ıos-Montes Instituto de Matem´aticas Universidad Nacional Aut´onoma de M´exico ´ Area de la Investigaci´on Cient´ıfica Circuito Exterior, C.U. M´exico D.F. e-mail: [email protected]