Beberapa Sifat Modul Miskin

  • Arif Munandar UIN Sunan Kalijaga
  • Indah Emilia Wijayanti Universitas Gadjah Mada
Keywords: modul miskin, modul injektif, modul semisederhana

Abstract

Modul miskin adalah modul yang injektif relatif terhadap semua modul semisederhana. Dalam tulisan ini dibahas mengenai eksistensi dan pembentukan modul miskin. Berikutnya dibahas peranan dari modul injektif yang dapat digantikan oleh modul miskin dengan tambahan sifat tertentu.

[A poor module defined to be a module which injective relative only to all semisimple modules. We give the existence of poor modules, how to form poor modules over any rings.The last, we discus about the role of injective module which can be replaced by poor module with some additional properties.]

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References

[1] Alahmadi. A. N., Alkan, M. and Lopez-Permouth, S., 2010, Poor Modules: The Opposite of Injectivity, Glasgow Math Journal, pp. 7-17.
[2] Anderson, F.W. and Fuller, K. R., 1974, Rings and Categories of Modules, SpringerVerlag, New York
[3] Bland, P.E., 2011, Rings and their modules, Walter de Gruyter GmbH and Co. KG, Berlin/Newyork.
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[5] Lam, T. Y., 1999, Lectures on Modules and Rings, Springer, New York.
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Published
2020-10-31
Section
Articles