Characterization of Prime Submodules of a Finitely Generated Free Module over a PID

• Autores: Sina Hedayat, Reza Nekooei
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 1, 2005, págs. 75-86
• Idioma: inglés
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• Resumen

  • In this paper we discuss properties of a set of prime submodules of a finitely generated free module F over a UFD and characterize the prime submodules of a free module of finite rank over a PID. Finally; we obtain the radical of a cyclic submodule of F and the radical of a submodule of a rank 2 free module over a PID.