Matrix near-rings over semisimple near-rings (Q1338177)

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scientific article; zbMATH DE number 695845
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Matrix near-rings over semisimple near-rings
scientific article; zbMATH DE number 695845

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    Matrix near-rings over semisimple near-rings (English)
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    27 November 1994
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    The main result is: If \(R\) is an infinite simple semisimple near-ring but not a ring and \(n\) is a positive integer, then the matrix near-ring \(M_n(R)\) does not satisfy the descending chain condition for left ideals (Theorem 2.5).
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    simple semisimple near-ring
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    matrix near-ring
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