Irreducibility, integrality and factoriality of symmetric algebras

Authors: Marcelo, Agustín¹; Masqué, J. Muñoz²

Source: Linear and Multilinear Algebra, Volume 53, Number 2, March 2005 , pp. 147-152(6)

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Abstract:

Several criteria ensuring the irreducibility, integrality or factoriality of the symmetric algebra of a module over a Noetherian domain, are stated.

Keywords: Prime submodule; Spectrum of a module; Symmetric algebra; Total spectrum of a module; 1991 Mathematics Subject Classifications: Primary; Secondary 13A02; 13B25; 13E05; 13E15

Document Type: Research article

DOI: http://dx.doi.org/10.1080/03081080500055163

Affiliations: 1: Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Tafira Baja, Edificio de Informática y Matemáticas, 35017-Las Palmas de Gran Canaria, Spain 2: Instituto de Física Aplicada, CSIC, C/serrano 144, 28006-Madrid, Spain

Publication date: 2005-03-01