
doi: 10.1007/bf01200345
Let G be a finitely generated module over a principal ideal domain D and let \(M_ D(G)\) be the centralizer near-ring determined by \(G_ D\). Structural properties of \(M_ D(G)\) such as simplicity and semisimplicity are characterized in terms of the invariants of \(G_ D\).
Near-rings, finitely generated module, PID, principal ideal domain, centralizer near-ring, semisimplicity, Simple and semisimple modules, primitive rings and ideals in associative algebras, simplicity, Principal ideal rings
Near-rings, finitely generated module, PID, principal ideal domain, centralizer near-ring, semisimplicity, Simple and semisimple modules, primitive rings and ideals in associative algebras, simplicity, Principal ideal rings
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