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free band

Proceedings of the Edinburgh Mathematical Society (1)

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AUTOMORPHISMS OF ENDOMORPHISM MONOIDS OF RELATIVELY FREE BANDS
João Araújo, Janusz Konieczny
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 50 / Issue 1 / February 2007

Published online by Cambridge University Press:

09 February 2007, pp. 1-21
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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 $B_{\mathcal{V}}(X)$.