Open Access
October, 2018 Pseudo Projective Modules Which are not Quasi Projective and Quivers
Gabriella D'Este, Derya Keskin Tütüncü
Taiwanese J. Math. 22(5): 1083-1090 (October, 2018). DOI: 10.11650/tjm/180401

Abstract

In this paper we construct pseudo projective modules which are not quasi projective over non-commutative perfect rings. To do it we construct finite dimensional quiver algebras over the field $\mathbb{Z}_2$. The modules which are constructed will have finite length three and only three nonzero proper submodules.

Citation

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Gabriella D'Este. Derya Keskin Tütüncü. "Pseudo Projective Modules Which are not Quasi Projective and Quivers." Taiwanese J. Math. 22 (5) 1083 - 1090, October, 2018. https://doi.org/10.11650/tjm/180401

Information

Received: 22 November 2017; Accepted: 30 March 2018; Published: October, 2018
First available in Project Euclid: 18 April 2018

zbMATH: 06965410
MathSciNet: MR3859367
Digital Object Identifier: 10.11650/tjm/180401

Subjects:
Primary: 16G20
Secondary: 16D99

Keywords: perfect rings , pseudo projective modules , quasi projective modules , quivers and representations

Rights: Copyright © 2018 The Mathematical Society of the Republic of China

Vol.22 • No. 5 • October, 2018
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