On Quasi-Reduced Modules

K.H. Singh¹ , N. Ansari² , M. Dutta³

Section:Research Paper, Product Type: Journal-Paper
Vol.5 , Issue.6 , pp.255-258, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.255258

Online published on Dec 31, 2018

Copyright © K.H. Singh, N. Ansari, M. Dutta . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This paper generalizes the concept of a reduced modules. We introduced the concept of quasi-reduced-I i.e, QR-I and quasi-reduced-II i.e, QR-II in modules and studied some of their properties.

Key-Words / Index Term :
Reducedring, Armendarizring, Semi-primerin and Rigidrings

References :
[1] M.B. Rege, S.C. Chhawchharia, “Armendariz rings ”, Proc. Japan Acad. Ser. A Math. Sci, Vol.31, pp.123-141, 2012.
[2] M. Baser, “On Armendariz and quasi-Armendariz modules”, Note di Mathematica n., Vol.31, pp.123-141, 2012.
[3] Kh.Hera Singh and A. M Bhuphang, “Semi-commutative and Duo Rings” Advances in Algebra Vol.8, pp. 1-12, 2015.
[4] Y.Hirano, “Regular modules and V-modules”, Hiroshima Math.J., Vol.31, pp.123-141, 2012.
[5] T.K. Lee, Y.Zhou, “Armendariz and reduced rings ”, Comm. Algebra, Vol.31, pp.123-141, 2012.
[6] T.K. Lee, Y.Zhou, “Reduced modules”, Lecture Notes in Pure Appl. Math, Vol.31, pp.123-141, 2012.
[7] Z. Liu, R. Zhao, “On weak Armendariz rings”,Comm. Algebra, Vol.31, pp.123-141, 2012.
[8] R.R. Andruszikiwiecz, E.R. Puczlowski, “Right fully idempotent rings need not be left fully idempotent ”, Glasgow Math.J, Vol.37, pp.155-157, 1995.
[9] L. Liang, L. Wang, Z. Liu, “On a generalization of semicommutative rings ”, Taiwanese J. of Math, Vol.31, pp.123-141, 2012.
[10] G. Marks, “On 2-Primal ore Extensions”, Comm in Algebra, Vol.31, pp.123-141, 2012.
[11] G. Marks, R. Mazurek, M. Ziembowski ,“A unified approach to the various generalization of Armendariz ring”, Bull.Aust.Math.Soc., Vol.31, pp.123-141, 2012.
[12] M.B. Rege, A.M. Buhphang, “On reduced modules and rings ”, International Electronic Journal of Algebra, Vol.31, pp.123-141, 2012.
[13] F.W. Anderson, K.R.Fuller, “Rings and Catagories of modules”, Springer-Verlag, 1974
[14] A.M. Buhphang, M.B. Rege, “Semi-commutative modules and armendariz modules ”, Arab J.Math.Sc., Vol.8, pp.53-65, 2002.
[15] B. Stenstrom, “Rings of Quotients-An Introduction to the Methods of Ring Theory”, Springer-Verlag, New York, 1975.