Gröbner bases for the polynomial ring with infinite variables and their applications

Kei ichiro Iima; Yuji Yoshino

doi:10.1080/00927870802502878

Gröbner bases for the polynomial ring with infinite variables and their applications

Kei ichiro Iima, Yuji Yoshino

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We develop the theory of Gröbner bases for ideals in a polynomial ring with countably infinite variables over a field. As an application we reconstruct some of the one-to-one correspondences among various sets of partitions by using the division algorithm.

Original language	English
Pages (from-to)	3424-3437
Number of pages	14
Journal	Communications in Algebra
Volume	37
Issue number	10
DOIs	https://doi.org/10.1080/00927870802502878
Publication status	Published - Oct 2009

Keywords

Gröbner bases
Schur functional equation

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870802502878

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abstract = "We develop the theory of Gr{\"o}bner bases for ideals in a polynomial ring with countably infinite variables over a field. As an application we reconstruct some of the one-to-one correspondences among various sets of partitions by using the division algorithm.",

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author = "Iima, {Kei ichiro} and Yuji Yoshino",

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KW - Schur functional equation

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Gröbner bases for the polynomial ring with infinite variables and their applications

Abstract

Keywords

ASJC Scopus subject areas

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