NONESSENTIAL PQ-INJECTIVE MODULES

  • S.Wongwai Rajamangala University of Technology Thanyaburi, Pathumthani 12110, Thailand
  • N. Thiangtong Rajamangala University of Technology Thanyaburi, Pathumthani 12110, Thailand
  • V.Pimonlsith Rajamangala University of Technology Thanyaburi,Pathumthani 12110, Thailand
  • P.Pornpunpaibool Rajamangala University of Technology Thanyaburi, Pathumthani 12110, Thailand
DOI: https://doi.org/10.53555/m.v3i1.1557
Keywords: nonessential, PQ - injective, modules, Endomorphism Rings.

Abstract

Let M be a right R − module. A right R − module N is called nonessentialprincipally M - injective (briefly, nonessential PM - injective) if, for each s S ∈ with e s(M) M, ⊄ any R − homomorphism from s(M) to N can be extended to an R − homomorphism from M to N. M is called nonessential principally quasi- injective (briefly, nonessential PQ - injective) if, it is nonessential PM - injective. In this paper, we give some characterizations and properties of nonessential PQ - injective modules

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Author Biographies

S.Wongwai, Rajamangala University of Technology Thanyaburi, Pathumthani 12110, Thailand

Faculty of Architecture,

N. Thiangtong, Rajamangala University of Technology Thanyaburi, Pathumthani 12110, Thailand

Faculty of Architecture,

V.Pimonlsith, Rajamangala University of Technology Thanyaburi,Pathumthani 12110, Thailand

Faculty of Architecture,

P.Pornpunpaibool, Rajamangala University of Technology Thanyaburi, Pathumthani 12110, Thailand

Faculty of Architecture,

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Published
2017-01-31
How to Cite
Wongwai, S., Thiangtong, N., Pimonlsith, V., & Pornpunpaibool, P. (2017). NONESSENTIAL PQ-INJECTIVE MODULES. IJRDO -JOURNAL OF MATHEMATICS, 3(1), 01-07. https://doi.org/10.53555/m.v3i1.1557
Issue
Vol. 3 No. 1 (2017): IJRDO-Journal of Mathematics
Section
Articles

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