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\(\Theta\Gamma N\)-group. (English) Zbl 1474.16126

Summary: In this paper, we introduce the notion of \(\Theta\Gamma\, N\)-group as a generalization of algebraic structures of \(N\)-group and gamma nearring. We present motivating examples of \(\Theta\Gamma\, N\)-groups and prove classical isomorphism theorems.

MSC:

16Y30 Near-rings

Software:

SONATA
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References:

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