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RETRACTED ARTICLE: Varieties of bands with a semilattice transversal

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This article was retracted on 12 April 2016

Abstract

The lattice of varieties of bands with a semilattice transversal is a replica of the lattice of all band varieties. We solve the word problem for the free band with a semilattice transversal and for all relatively free objects.

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Acknowledgments

The authors are very grateful to the anonymous reviewers for their careful reading of the manuscript and valuable comments. This research was partially supported by the National Natural Science Foundation of China (No. 11101217) and the Natural Science Foundation of Jiang Su Province Foundation (No. BK20141476).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, People’s Republic of China

    Xiaoling Li, Guangping Hu, Yao Wang & Jing Xu

Authors
  1. Xiaoling Li
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  2. Guangping Hu
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  3. Yao Wang
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  4. Jing Xu
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Corresponding author

Correspondence to Xiaoling Li.

Additional information

Communicated by Marcel Jackson.

We hereby retract our paper "Varieties of bands with a semilattice transversal" which appeared in Semigroup Forum 91 (2015), 185-199.

The material in this paper consists of a handwritten manuscript provided to the supervisor of the first author by Professor Francis J. Pastijn. The authors had no permission to publish this material and apologize to Professor Pastijn and the journal Semigroup Forum for the problems that this has caused. Professor Pastijn's own paper, which is a development of a part of this manuscript, appeared as "Free split bands", Semigroup Forum 90 (2015), 753-762.

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Li, X., Hu, G., Wang, Y. et al. RETRACTED ARTICLE: Varieties of bands with a semilattice transversal. Semigroup Forum 91, 185–199 (2015). https://doi.org/10.1007/s00233-015-9706-4

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  • DOI: https://doi.org/10.1007/s00233-015-9706-4

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