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ON MATRIX WREATH PRODUCTS OF ALGEBRAS
Journal article   Open access

ON MATRIX WREATH PRODUCTS OF ALGEBRAS

Adel Alahmadi, Hamed Alsulami, S. K. Jain and Efim Zelmanov
Electronic research announcements in mathematical sciences, Vol.24, pp.78-86
01/09/2017
DOI: https://doi.org/10.3934/era.2017.24.009

Abstract

Mathematics Physical Sciences Science & Technology
We introduce a new construction of matrix wreath products of algebras that is similar to the construction of wreath products of groups introduced by L. Kaloujnine and M. Krasner [17]. We then illustrate its usefulness by proving embedding theorems into finitely generated algebras and constructing nil algebras with prescribed Gelfand-Kirillov dimension.
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https://doi.org/10.3934/era.2017.24.009View
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