Matrix identities involving multiplication and transposition / Auinger Karl,Dolinka Igor,Volkov Mikhail V. // JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. - 2012. - V. 14, l. 3. - P. 937-969.

ISSN/EISSN:
1435-9855 / нет данных
Type:
Article
Abstract:
We study matrix identities involving multiplication and unary operations such as transposition or Moore-Penrose inversion. We prove that in many cases such identities admit no finite basis.
Author keywords:
Matrix transposition; symplectic transpose; Moore-Penrose inverse matrix law; identity basis; finite basis problem ASTERISK-POLYNOMIAL IDENTITIES; NXN MATRICES; SEMIGROUPS; INVOLUTION; VARIETIES; PRODUCT; ALGEBRA; INVERSE; ORDER-2
DOI:
10.4171/JEMS/323
Web of Science ID:
ISI:000304575800011
Соавторы в МНС:
Другие поля
Поле Значение
Publisher EUROPEAN MATHEMATICAL SOC
Address PUBLISHING HOUSE, E T H-ZENTRUM SEW A27, SCHEUCHZERSTRASSE 70, CH-8092 ZURICH, SWITZERLAND
Language English
Keywords-Plus ASTERISK-POLYNOMIAL IDENTITIES; NXN MATRICES; SEMIGROUPS; INVOLUTION; VARIETIES; PRODUCT; ALGEBRA; INVERSE; ORDER-2
Research-Areas Mathematics
Web-of-Science-Categories Mathematics, Applied; Mathematics
Author-Email karl.auinger@univie.ac.at dockie@dmi.uns.ac.rs mikhail.volkov@usu.ru
ResearcherID-Numbers Volkov, Mikhail/F-1407-2014
ORCID-Numbers Volkov, Mikhail/0000-0002-9327-243X Dolinka, Igor/0000-0002-8644-0626
Funding-Acknowledgement Ministry of Science and Technological Development of the Republic of Serbia {[}174019]; Ministry for Education and Science of Russia {[}2.1.1/13995]; Russian Foundation for Basic Research {[}10-01-00524]
Funding-Text The second author was supported by Grant No. 174019 of the Ministry of Science and Technological Development of the Republic of Serbia. The third author acknowledges support from the Ministry for Education and Science of Russia, grant 2.1.1/13995, and from the Russian Foundation for Basic Research, grant 10-01-00524.
Number-of-Cited-References 57
Journal-ISO J. Eur. Math. Soc.
Doc-Delivery-Number 949KT