SOME ASPECTS ON s-near-ring
Main Article Content
Abstract
In this paper we prove some results on a distributive generated s-near ring w.r.t. a set of right complete orthogonal idempotent. If A is an ideal of a s-near ring N in which left annihilators are distributive generated then   is a s-near ring. Also we have that the classical near ring of left quotions of a s- near ring is also a s- near ring. Lastly we prove if N possesses strictly projective summand then   is either zero or simple for each tame N-group   .   Â
2010 AMS subject classification: 16D60, 16P70, 16Y30, 16N20.                        Â
Key words: Irreducible N-group, idempotensts, left annihilators,  direct sum, radical, tame N-group.Downloads
Article Details
References
] Baruah, M.N,â€Near-rings and near-ring modules –some special typesâ€(dissertation for Ph.D.), Naya Prokash, Culcutta, 1984.
] Beidleman,j.C : “Non semi-simple distributively generated near-rings with minimum condition, Math, Abb. 170 (1967), 206-213.
] Chatters, A.W. and Hajarnavis, C.R. : Rings with chain conditions, pitmam Publishing Program, Boston, 1980.
] Choudhruy, S.C.: On near-rings and near-ring modules, Ph.D. dissertation, IIT, Kanpur,
] Chowdhury, K.C. and Saikia, Helan K. : On near-rings with acc on annihilators, Mathematica Pannonica, 8/2 (1997). 177-185.
] Chowdhury, K.C., Kataki, R. and De. B : On near-ring radicals and N-subgroups forming chain,s Far east J. Math., Sci. (FJMS) 2($) (2000), 577-595.
] De Stefano, S.and Di Sieno, S.: Semiprime near-ings, J. Austral. Math Soc. (Series A0 51 (1991), 88-94.
] Divinski, N : D-regularity, Proc. Amer. Math Soc. 9(1958).
] Eisenbud, D and Griffith, P. : Serial rings, J. of Algebra, 17 (1971
] Forhlich, A.: Distributively generated near-rings-I (Ideal theory), Proc. Lon Math. Soc. 8(1958), 76
] Fain C.G.: Some structure theorems for near-rings, doctoral dissertation,University of Oklahama,1968.
] Goodearl, K.R. : Ring theory, Non singular Rings and modules, Marcel dekkan Inc., New york, 1976.