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Effective representations of path semigroups

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Abstract

We give formulas which determine the effective dimensions of path semigroups over an uncountable field and of truncated path semigroups over a field which is uncountable or of characteristic zero.

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References

  1. Mazorchuk, V., Steinberg, B.: Effective dimension of finite semigroups. J. Pure Appl. Algebra 216(12), 2737–2753 (2012)

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  2. Gabriel, P., Roiter, A.V.: Representations of Finite-Dimensional Algebras (With a Chapter by B. Keller). Springer, Berlin (1997)

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Authors and Affiliations

  1. Department of Math., Uppsala University, Box 480, 751 06, Uppsala, Sweden

    Love Forsberg

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  1. Love Forsberg
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Correspondence to Love Forsberg.

Additional information

Communicated by Benjamin Steinberg.

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Forsberg, L. Effective representations of path semigroups. Semigroup Forum 92, 449–459 (2016). https://doi.org/10.1007/s00233-015-9697-1

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  • DOI: https://doi.org/10.1007/s00233-015-9697-1

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