### 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 | |

State | Published - 1979 |

Externally published | Yes |

### Fingerprint

### Keywords

- Noncommutative localization
- Polynomial identity algebra

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**A pi-algebra which is not pi when an inverse is adjoined.** / Indik, Robert A.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - A pi-algebra which is not pi when an inverse is adjoined

AU - Indik, Robert A

PY - 1979

Y1 - 1979

N2 - 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.

AB - 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.

KW - Noncommutative localization

KW - Polynomial identity algebra

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UR - http://www.scopus.com/inward/citedby.url?scp=84921102682&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1979-0534379-6

DO - 10.1090/S0002-9939-1979-0534379-6

M3 - Article

AN - SCOPUS:84921102682

VL - 76

SP - 11

EP - 13

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -