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Some types of ideals of a near ring
M.N. Obaid1 , R.A. Fadhil2
Section:Review Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.5 , pp.185-191, Oct-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i5.185191
Online published on Oct 31, 2018
Copyright © M.N. Obaid, R.A. Fadhil . 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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IEEE Style Citation: M.N. Obaid, R.A. Fadhil, “Some types of ideals of a near ring,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.5, pp.185-191, 2018.
MLA Style Citation: M.N. Obaid, R.A. Fadhil "Some types of ideals of a near ring." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.5 (2018): 185-191.
APA Style Citation: M.N. Obaid, R.A. Fadhil, (2018). Some types of ideals of a near ring. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(5), 185-191.
BibTex Style Citation:
@article{Obaid_2018,
author = {M.N. Obaid, R.A. Fadhil},
title = {Some types of ideals of a near ring},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2018},
volume = {5},
Issue = {5},
month = {10},
year = {2018},
issn = {2347-2693},
pages = {185-191},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=886},
doi = {https://doi.org/10.26438/ijcse/v5i5.185191}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i5.185191}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=886
TI - Some types of ideals of a near ring
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - M.N. Obaid, R.A. Fadhil
PY - 2018
DA - 2018/10/31
PB - IJCSE, Indore, INDIA
SP - 185-191
IS - 5
VL - 5
SN - 2347-2693
ER -
Abstract :
We give some basic concepts about some types of near rings, Also, we gave some examples and investigated the properties related to these concepts. Moreover, we studied the relationship among these types of ideals and some other types of ideals of a near ring. Also, we gave some examples and properties related to those concepts. Moreover, we studied some of the properties and relations between this type and other types of ideals in the near ring .we, Ideal, completely semi prime ideal, completely prime ideal, and some other basic concepts.
Key-Words / Index Term :
near ring , Prime Ideal
References :
A. K.Jabbar and C. A. Ahmed, ”On Almost Primary Ideals ” International Journal of Algebra, Vol. 5, No. 13,pp: 627 - 636, 2011.
A.O.Atag and H. Altındis,”S-special near-rings” , J.Inst. Mat Comp. Sci (Math. Ser), Vol.19, pp:205 – 210, 2006.
A. O. Atag and N. J. Groenewald” Primeness in Near Rings Multiplicative Semi-Group Satisfying the Three Identities”, J. Math Sci: Advances and Applications, Vol. 2, No.1, pp: 137-145, 2009.
A. O. Atag,” IFP Ideals in Near-rings” , Hacet. J. Math. Stat, Vol.39, pp:17 – 21,2010.
] B. S. Kedukodi, S.Bhavanari and S.P. Kuncham ” C-Prime Fuzzy Ideals of Near Rings”, Soochow, J. Math .,Vol. 33, No. 4, pp: 891- 901, 2007.
B. S.Kedukodi ,S. P. Kuncham and S. Bhavanari” Equiprime,3~prime and c-prime fuzzy ideals of near rings” Soft Comput , Vol. 13, pp:933–944, 2009.
D. D. Anderson” A Note on Minimal Prime Ideals” proceedings of the American mathematical society Vol .122, No.1, 1994.
G.Birkenmeier and H.Heatherly,”Medial near-rings ” Monatsh.Math. Vol.107, pp:89–110, 1989.
G. L. Booth and K. Mogae , ” Equiprime Ideal near-rings” M.Sc thesis University of the Nelson Mandela Metropolitan December 2008.
G. L. Booth, N. J. Groenewald and S. Veldsman A Kurosh- Amitsur, ”Prime Radical of Near rings” ,Comm. Algebra , Vol.18, No.9, pp:3111 – 3122,1990.
G.Mason ,”Fully Idempotent Near ring and Sheaf Representation ” ,Canda , , Vol.21, No.1, pp:145 – 152,1995.
G.Pilz,”Near ring”, North Hollanda Publ.and co., 1977.
H.A.S.Abujabal,M.A.Obaid and M.A.Khan,” On Structur and Commutativity of Near Rings ”, Antofagasta- Chile , Vol 19, No. 2, PP:113- 124,2000
H.H.Abbass, M.A. Mohammed , ”On Completely Prime Ideal With Respect An Element Of A Near Ring”, J. kerbala. university , vol. 10 No.3 pp:285- 301 . 2012
H.H.Abbass, M.N.Obaid,On A Primary Ideal and Semi Primary Ideal tof a Near Ring,Journal of Kerbala University, 14 (2), pp. 163-170, 2016.
H.H.Abbass, M.N. Obaid ,” On A Primary Ideal With Respect To an Element of a Near Ring ”, Global Journal of Mathematics, Vol.4, No.2,pp: 412-419 ,2015.
H.H.Abbass, S.M.Ibrahem ,” On Completely Semi Prime Ideal with Respect to an Element of a Near Ring” , J. Kufa.. Math and Computer, Vol.1, No.3, pp.1- 7, 2011
M.S.Davender,”Fuzzy Subfields”, Fuzzy and Set Systems , Vol. 37,pp:383-388,1990.
M.S.Davender,”Fuzzy homorphism of near rings”, Fuzzy and Set Systems , Vol. 45,pp: 83-91,1992.
R.W. Gilmer, ”Rings in which Semi Primary Ideals are Primary” Pacific Journal of Mathematics, Vol. 12, No. 4, 1962.
N.J.Groenewald”Different Prime Ideals in Near-ring” Comm.ALgebra, Vol. 19, No. 10, pp:2667-2675,1991.
N.J.Groenewald,” The completely prime radical in near rings”,Acta Math .Hung ., Vol.33, pp:301-305,1988.
N.J. Groenewald, W.A. Olivier and L. Godloza ”On Class Pairs an Radicals of Near-rings” , University of Port Elizabeth, 2004.
N. V. Nagendram, T. V. Pradeep Kumar and Y. V. Reddy ”IFP Ideal in Noetherian δ-Regular Near Rings” Int. J.Contemporar Math Vol. 2, No. 1, 2011.
P.Dheena and G.Satheesh Kumar ,”Completely 2-primal Ideal in near ring ” , India,2007.
P.Dheena , Ageneralization of Strongly Regular near ring ” , India,J.pure appl.Math,vol.20,no.1.pp:58-63,1989.
S.D. Kim and H.S. Kim ”On Fuzzy Ideals of near ring ” , Bull. Korean Math. Soc. 33 , No. 4, pp: 593–601, 1996.
S.E. Atani and F. Farzalipour ”On Weakly Primary Ideals ” , J.Math. Georgian ,Vol. 12, No. 3, pp:423– 429, 2005.
Taşdemir F. , Atagun A.O., Altindiş H.},Different Prime N-Ideals And Ifp N-Ideals, INDIAN JOURNAL OF PURE and APPLIED MATHEMATICS,vol.44, pp.527-542, 2013.
W.B.Vasantha and Kandasamy,”Samarandache near ring” United States of America,pp:20-30,pp:69-71,158,2002
W.L.M.Holcombe, ” Primitive near rings” ,Doctoral Dissertation, University of Leeds, 1970.
Y. V. Reddy and C. V. L. N. Murty, ”Semi-Symmetric Ideals In Near Rings” Indian J. Pure appl. Math ., Vol. 16. No.1, pp:17-21, 1985
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