Open Access
January 2019 On projective QTAG-modules
Fahad Sikander
Tbilisi Math. J. 12(1): 55-68 (January 2019). DOI: 10.32513/tbilisi/1553565626

Abstract

In this paper we introduce the new class of QTAG-modules namely $\omega_1$-$(\omega+n)$-projective modules, which is an amalgamation of three important classes of modules: $n$-bounded modules, the direct sum of uniserial modules and the countably generated modules. This class is given many equivalent characterizations including being the smallest class containing the $(\omega+n)$-projective modules that is closed with respect to $\omega_1$-bijective homomorphisms.

Acknowledgment

The author is thankful to the referee for his/her valuable suggestions and careful reading of the manuscript.

Citation

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Fahad Sikander. "On projective QTAG-modules." Tbilisi Math. J. 12 (1) 55 - 68, January 2019. https://doi.org/10.32513/tbilisi/1553565626

Information

Received: 7 February 2018; Accepted: 20 November 2018; Published: January 2019
First available in Project Euclid: 26 March 2019

zbMATH: 07172300
MathSciNet: MR3954219
Digital Object Identifier: 10.32513/tbilisi/1553565626

Subjects:
Primary: 16K20

Keywords: $(\omega+n)$-projective modules , $n$-summable modules , countably generated modules , QTAG-module

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

Vol.12 • No. 1 • January 2019
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