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Weakly integrally closed domains:minimum polynomials of matrices

 

作者: James Brewer,   Fred Richman,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 10  

页码: 4735-4748

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827117

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

Must the coefficients of the minimum polynomial of a matrix over a domain lie in that domain? This question leads to the notion of a weakly integrally closed domain, over which the answer is ’yes’ for 3-by-3 matrices. It is shown that certain subalgebras ofk[t] are weakly integrally closed, as are rings consisting of quadratic algebraic numbers.

 

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