Free subalgebras of free associative algebras

1978 ◽  
Vol 19 (2) ◽  
pp. 229-234 ◽  
Author(s):  
A. T. Kolotov
Author(s):  
Renato Fehlberg Júnior ◽  
Javier Sánchez

Abstract We show that some results of L. Makar-Limanov, P. Malcolmson and Z. Reichstein on the existence of free-associative algebras are valid in the more general context of varieties of algebras.


2021 ◽  
Vol 15 (2) ◽  
Author(s):  
I. Sabadini ◽  
D. C. Struppa

AbstractIn this paper we discuss some notions of analyticity in associative algebras with unit. We also recall some basic tool in algebraic analysis and we use them to study the properties of analytic functions in two algebras of dimension four that played a relevant role in some work of the Italian school, but that have never been fully investigated.


2019 ◽  
Vol 532 ◽  
pp. 80-118 ◽  
Author(s):  
Jiefeng Liu ◽  
Chengming Bai ◽  
Yunhe Sheng
Keyword(s):  

2006 ◽  
Vol 207 (3) ◽  
pp. 619-630 ◽  
Author(s):  
Mercedes Siles Molina
Keyword(s):  

2017 ◽  
Vol 45 (12) ◽  
pp. 5283-5296 ◽  
Author(s):  
Pavel Kolesnikov
Keyword(s):  

1996 ◽  
Vol 179 (3) ◽  
pp. 732-750 ◽  
Author(s):  
Jeffrey Bergen ◽  
Piotr Grzeszczuk
Keyword(s):  

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