The reverse order law $$(ab)^\#=b^\dag (a^\dag abb^\dag )^\dag a^\dag $$ ( a b ) # = b † ( a † a b b † ) † a † in rings with involution

Autor:	Dragan S. Djordjević, Dijana Mosić
Rok vydání:	2014
Předmět:	Combinatorics Involution (mathematics) Reverse order Computational Mathematics Algebra and Number Theory Applied Mathematics Law Geometry and Topology Analysis Moore–Penrose pseudoinverse Mathematics
Zdroj:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 109:257-265
ISSN:	1579-1505 1578-7303
DOI:	10.1007/s13398-014-0178-2
Popis:	Several equivalent conditions for the reverse order law \((ab)^\#=b^\dag (a^\dag abb^\dag )^\dag a^\dag \) in rings with involution are presented. Also, we investigate necessary and sufficient conditions for \((ab)^\#=b^\dag a^\dag \) to hold.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f9259960d11c08ed31490da1a0bc9081 https://doi.org/10.1007/s13398-014-0178-2 Zobrazit plný text záznamu Full text from SpringerLink