Fp-Projective and Fp-Cotorsion Modules

Authors

  • Shhaied Riad Department of University Requirements-Faculty of Science and Arts International University for Science and Technology, Damascus, Syria

Keywords:

Cotorsion theory, fp-projective modules, fp-cotorsion modules, Noetherian rings, perfect rings, coherent rings, fp-regular rings.

Abstract

Let R be a ring. The concepts of fp-projective and fp-cotorsion R-modules are defined. These modules together with the concept of the cotorsion theory are used to characterize left Noetherian rings, left perfect and right coherent rings, left coherent rings and left fp-regular rings. Moreover, some known characterizations of von Neumann regular rings are found.

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Published

2016-03-01

How to Cite

Riad, S. (2016). Fp-Projective and Fp-Cotorsion Modules. American Scientific Research Journal for Engineering, Technology, and Sciences, 17(1), 132–143. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/1367

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