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Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 1

On pseudo semi-projective modules

Truong Cong QUYNH
Pages
27–36
Publication Date
2013-01-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some properties of this class of module are studied.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A right R-module M is called semi-projective if, for any submodule N of M, every epimorphism p: M \rightarrow N and every homomorphism a: M \rightarrow N, there exists a homomorphism b: M \rightarrow M such that p b = a (see [11]).
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Key Findings & Data:In this paper, we consider some generalizations of semi-projective module, that is quasi pseudo principally projective module.
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Conclusion & Impact:Some properties of this class of module are studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Key words: Semi-projective module · pseudo principally projective module · Key words: Semi-projective module

Abstract

A right R-module M is called semi-projective if, for any submodule N of M, every epimorphism p: M \rightarrow N and every homomorphism a: M \rightarrow N, there exists a homomorphism b: M \rightarrow M such that p b = a (see [11]). In this paper, we consider some generalizations of semi-projective module, that is quasi pseudo principally projective module. Some properties of this class of module are studied.

Özet

A right R-module M is called semi-projective if, for any submodule N of M, every epimorphism p: M \rightarrow N and every homomorphism a: M \rightarrow N, there exists a homomorphism b: M \rightarrow M such that p b = a (see [11]). In this paper, we consider some generalizations of semi-projective module, that is quasi pseudo principally projective module. Some properties of this class of module are studied.

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Cite This Article

QUYNH, T. C. (2013). On pseudo semi-projective modules. Turkish Journal of Mathematics, Cilt: 37 - Sayı: 1, 27–36. https://ajindex.com/articles/185722

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References (11)

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