ON LEFT QUASI-EXACT SEQUENCES

https://doi.org/10.22146/jmt.44643

Siti Muawanah(1), Indah Emilia Wijayanti(2*)

(1) Universitas Gadjah Mada
(2) Universitas Gadjah Mada
(*) Corresponding Author

Abstract


The aim of this paper is to bring together the properties of quasi-exact sequences and homomorphism functors. It is of interest to know whether the left quasi-exact sequences have some interesting properties related to the functors and vice versa. Moreover, we also define the dualization of left quasi-exact sequences, i.e. right quasi-coexact sequences. Our proofs show that the quasi-exactness of sequences is preserved by any homomorphism functors.

Keywords


barisan eksak; barisan quasi eksak; barisan quasi eksak kiri; barisan quasi eksak kanan; fungtor homomorfisma

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References

Adkins, W.A., Weintraub, S.H., Algebra: An Approach via Module Theory, Springer-VerlagNew York, Inc., USA, 1992. Anvariyeh, S.M., Davvaz, B., U-Split-Exact Sequences, Far East J. Math. Sci.(FJMS) 4(2) (2002), 209-219. Anvariyeh, S.M., Davvaz, B. On Quasi-Exact Sequences, Bull Korean Math. Soc. 42(1) (2005), 149-155. Davvaz, B., Shabani Solt, H. A Generalization of Homological Algebra, J. Korean Math.Soc. 39 (6) (2002), 881-898. Davvaz, B., Parnian-Garamaleky, Y.A., A Note on Exact Sequences, Bull.Malays. Math.Sci. Soc. 22 (1) (1999), 53-56. Wisbauer, R., Grundlagen der Modul- und Ringtheorie: Ein Handbuch f¨ur Studium undForschung, Verlag Reinhard Fischer, M¨unchen, 1988.



DOI: https://doi.org/10.22146/jmt.44643

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