A pi-algebra which is not pi when an inverse is adjoined

Robert A. Indik

doi:10.1090/S0002-9939-1979-0534379-6

A pi-algebra which is not pi when an inverse is adjoined

Robert A. Indik

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

2 Scopus citations

Abstract

An example is produced of an algebra, embedded in 2 × 2 matrices over a field, which is not PI when an element’s inverse is formally adjoined. This example is used to show that the generic 2 × 2 matrices, a domain, has the same property.

Original language	English (US)
Pages (from-to)	11-13
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	76
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1979-0534379-6
State	Published - Aug 1979
Externally published	Yes

Keywords

Noncommutative localization
Polynomial identity algebra

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1979-0534379-6

Cite this

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abstract = "An example is produced of an algebra, embedded in 2 × 2 matrices over a field, which is not PI when an element{\textquoteright}s inverse is formally adjoined. This example is used to show that the generic 2 × 2 matrices, a domain, has the same property.",

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KW - Noncommutative localization

KW - Polynomial identity algebra

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A pi-algebra which is not pi when an inverse is adjoined

Abstract

Keywords

ASJC Scopus subject areas

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