Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2010; 47(2): 289-297

Printed March 1, 2010

https://doi.org/10.4134/JKMS.2010.47.2.289

Copyright © The Korean Mathematical Society.

Equidimensional symmetric algebras

Agust\'{\i}n Marcelo, F\'{e}lix Marcelo, and C\'{e}sar Rodr\'{\i}guez

Universidad de Las Palmas de Gran Canaria, Universidad de Las Palmas de Gran Canaria, and Universidad de Las Palmas de Gran Canaria

Abstract

By using as main tool the theory of prime submodules this article is devoted to describing the structure of the minimal prime ideals of the equidimensional symmetric algebra of a finitely generated module.

Keywords: prime submodules, symmetric algebra, minimal components

MSC numbers: 15A69, 16W50, 16D25