Some results on prime and primary submodules

• Vega, Agustín Marcelo ^[1] ; Wirnitzer, Félix Marcelo ^[1] ; Rodríguez Mielgo, César ^[1]
  1. [1] Universidad de Las Palmas de Gran Canaria

     Universidad de Las Palmas de Gran Canaria

     Gran Canaria, España

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 22, Nº. 3, 2003, págs. 201-208
• Idioma: inglés
• DOI: 10.4067/S0716-09172003000300003
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• Resumen

  • This article is devoted to study some properties of prime and primary submodules. First we characterize prime submodules of free modules and give a primality condition for certain submodules in terms of associated prime ideals. Furthermore, by using symmetric algebra of modules we describe Rees algebras associated to prime submodules and provide a computational method to check if some primary submodules of a free module have prime radical.

• Referencias bibliográficas
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