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Prime near-rings. (English) Zbl 1273.16045

From the introduction: We consider the basic properties of prime near-ring modules and find a similarity of prime submodules and annihilator left ideals. The main result is as follows: If \(N\) is a distributive near-ring, then the lattices \(\mathcal U_r\) and \(\mathcal U_l\) are anti-isomorphic.

MSC:

16Y30 Near-rings
16N60 Prime and semiprime associative rings
16D25 Ideals in associative algebras
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