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Certain near-rings are rings, II
International Journal of Mathematics and Mathematical Sciences, 1986 We investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x,y∈R, there exist positive integers m, n for which xy=ymxn; (ii) for each x,y∈R, there exists a positive integer n such that xy=(yx)n. Under
Howard E. Bell
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Identities and left cancellation in distributively generated near-rings
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1980 AbstractGiven a semigroup S, we define {N(S), +, ·} to be the ‘free’ distributively generated near-ring. Since all words in N(S) can be expressed as the sum and difference of elements of S, we are able to define a length function on the words of N(S). The following theorems then follow: Theorem 1.
David J. John
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On the theory of radicals of distributively generated near-rings
Mathematische Annalen, 1967 J. Beidleman
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Distributively generated near-rings with descending chain condition
Mathematische Zeitschrift, 1965 J. Beidleman
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Strictly prime distributively generated near-rings
Mathematische Zeitschrift, 1967 J. Beidleman
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Categories and distributively generated near-rings [PDF]
, 1979 Mahmood, Suraiya Jabeen
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Nonsemi-simple distributively generated near-rings with minimum condition
Mathematische Annalen, 1967 J. Beidleman
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NEAR RINGS ADMITTING CERTAIN DECOMPOSITION THEOREMS [PDF]
, 2018 In the present paper we shall investigate some decomposition theorems for near rings satisfying any one of the conditions; (1) (2)whereare ...
Khan, M Shadab
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, 2002 The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
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