rickart实c -代数与包络rickart c -代数的联系

IF 0.4 Q4 MATHEMATICS

Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2022-12-31 DOI:10.46754/jmsi.2022.12.003

A.A. Rakhimov, N.V. Raxmonova, Z. Salleh

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引用次数: 0

摘要

本文考虑了ricart复C*代数和实C*代数。对于ricart的实C*-代数，研究了它与包络(复)C*-代数的联系。证明了A是ricart实C*-代数的事实并不意味着A的复化A + ia是ricart(复)C*-代数。证明了如果A是实C*-代数，A +i A是里克特C*-代数，则A +i A是里克特实C*-代数。证明了存在一个投影格不完全的ricart实C*代数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A CONNECTION BETWEEN RICKART REAL C*-ALGEBRA AND ENVELOPING RICKART C*-ALGEBRA

In the paper, Rickart complex and real C*-algebra are considered. For Rickart’s real C*-algebra, its connection with the enveloping (complex) C*-algebra is studied. It is shown that the fact that A is a Rickart real C*-algebra does not imply that a complexification A +i A of A is a Rickart (complex) C*-algebra. Proved that if A is a real C*-algebra and A +i A is a Rickart C*-algebra, then A +i A is a Rickart real C*-algebra. It is shown that there exists a Rickart real C*-algebra whose projection lattice is not complete.

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来源期刊

Iranian Journal of Mathematical Sciences and Informatics MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量