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AUTOMORPHISMS OF ENDOMORPHISM MONOIDS OF RELATIVELY FREE BANDS

Published online by Cambridge University Press:  09 February 2007

João Araújo  and
Janusz Konieczny
João Araújo
Affiliation:
Universidade Aberta, R. Escola Politécnica, 147, 1269-001 Lisbon, Portugal and Centro de Álgebra, Universidade de Lisboa, 1649-003 Lisbon, Portugal (mjoao@lmc.fc.ul.pt)
Janusz Konieczny
Affiliation:
Department of Mathematics, University of Mary Washington, Fredericksburg, VA 22401, USA (jkoniecz@umw.edu)
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Abstract

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For a set $X$ and a variety $\mathcal{V}$ of bands, let $B_{\mathcal{V}}(X)$ be the relatively free band in $\mathcal{V}$ on $X$. For an arbitrary band variety $\mathcal{V}$ and an arbitrary set $X$, we determine the group of automorphisms of $\mathrm{End}(B_{\mathcal{V}}(X))$, the monoid of endomorphisms of $B_{\mathcal{V}}(X)$.

Keywords

Primary 20M0720M2020M15free bandvarietyendomorphismautomorphism
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 50 , Issue 1 , February 2007 , pp. 1 - 21
Copyright
Copyright © Edinburgh Mathematical Society 2007