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Rank properties of the semigroup of endomorphisms over Brandt semigroup

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Abstract

We investigate small rank, lower rank, intermediate rank, upper rank, and large rank of the semigroup of endomorphisms over Brandt semigroup.

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Acknowledgements

The author cordially thanks Professor M. V. Volkov and the anonymous referee for their helpful comments/suggestions on an earlier version of this paper. The author wishes to acknowledge the support of research initiation Grant (0076/2016) funded by BITS Pilani, Pilani.

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Authors and Affiliations

  1. Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India

    Jitender Kumar

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  1. Jitender Kumar
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Correspondence to Jitender Kumar.

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Communicated by Mikhail Volkov.

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Kumar, J. Rank properties of the semigroup of endomorphisms over Brandt semigroup. Semigroup Forum 95, 589–593 (2017). https://doi.org/10.1007/s00233-017-9901-6

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  • DOI: https://doi.org/10.1007/s00233-017-9901-6

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