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Epimorphisms, dominions and seminormal identities II

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Abstract

We associate two natural numbers with a seminormal identity depending on the first and the last occurrences of two two-letter subwords of the left hand side which are not subwords of its right hand side. Using these natural numbers, we find some classes of heterotypical identities where both sides contain repeated variables that are preserved under epis in conjunction with a seminormal identity.

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Acknowledgement

We sincerely thank the referee for his hard work, constructive criticism and advices all along which has led, significantly, to improve clarity of notions and results as well as presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Noor Mohammad Khan

  2. Department of Mathematics, Central University of Kashmir, Srinagar, 190004, India

    Aftab Hussain Shah

Authors
  1. Noor Mohammad Khan
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  2. Aftab Hussain Shah
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Correspondence to Noor Mohammad Khan.

Additional information

Communicated by Benjamin Steinberg.

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Khan, N.M., Shah, A.H. Epimorphisms, dominions and seminormal identities II. Semigroup Forum 87, 97–119 (2013). https://doi.org/10.1007/s00233-012-9461-8

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  • DOI: https://doi.org/10.1007/s00233-012-9461-8

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