NEAR RINGS ADMITTING CERTAIN DECOMPOSITION THEOREMS
DOI:
https://doi.org/10.24297/jam.v13i1.5891Keywords:
Distributively Generated (d-g) near ring, D-near ring, Zero-symmetric, Zero-commutative near ring.Abstract
In the present paper we shall investigate some decomposition theorems for near rings satisfying any one of the conditions; (1) (2)whereare integers.
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References
[1] Jacobson N.; Structure theory of algebraic algebras of bounded degree, J. Ann. Math. 46(1945), 695-707.
[2] Wedderburn J.H.M.; A theorem on nite algebras, J. Trans. Amer. Math. Soc. 6(1905), 349-352.
[3] Searcoid M.O. and MacHale D.; J. Amer. Math. Monthly, 93(1986), 121-122.
[4] Ligh S. and Luh J.; Direct sum of J-rings and zero rings, J. Amer. Math. Monthly 96(1989), 40-41.
[5] Bell H.E. and Ligh S.; Some decomposition theorems for periodic rings and near rings, J. Math. J. Okayama Univ. 31(1989), 93-99.
[6] Bell H E.; Near ring in which each element is a power of itself, J. Bull. Austral. Math. Soc. 2(1970) 363-368.
[7] Reddy Y.F. and Murthy C.V.L.N.; Semi-symmetric ideal in near rings, Indian Journal of Pure Applied and Math. 16(1985), 17-21.
[8] Clay J. R.; The near rings on groups of low order, J. Math. Z. 104(1968), 361-37
[9] Clay J. R.; The near rings on groups of low order, J. Math. Z. 104(1968), 361-371.
[2] Wedderburn J.H.M.; A theorem on nite algebras, J. Trans. Amer. Math. Soc. 6(1905), 349-352.
[3] Searcoid M.O. and MacHale D.; J. Amer. Math. Monthly, 93(1986), 121-122.
[4] Ligh S. and Luh J.; Direct sum of J-rings and zero rings, J. Amer. Math. Monthly 96(1989), 40-41.
[5] Bell H.E. and Ligh S.; Some decomposition theorems for periodic rings and near rings, J. Math. J. Okayama Univ. 31(1989), 93-99.
[6] Bell H E.; Near ring in which each element is a power of itself, J. Bull. Austral. Math. Soc. 2(1970) 363-368.
[7] Reddy Y.F. and Murthy C.V.L.N.; Semi-symmetric ideal in near rings, Indian Journal of Pure Applied and Math. 16(1985), 17-21.
[8] Clay J. R.; The near rings on groups of low order, J. Math. Z. 104(1968), 361-37
[9] Clay J. R.; The near rings on groups of low order, J. Math. Z. 104(1968), 361-371.
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Published
2018-01-18
How to Cite
Khan, M. S. (2018). NEAR RINGS ADMITTING CERTAIN DECOMPOSITION THEOREMS. JOURNAL OF ADVANCES IN MATHEMATICS, 13(1), 7119–7122. https://doi.org/10.24297/jam.v13i1.5891
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