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On ideal extensions of partial monounary algebras

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Abstract

In the present paper we introduce the notion of an ideal of a partial monounary algebra. Further, for an ideal (I, f I ) of a partial monounary algebra (A, f A ) we define the quotient partial monounary algebra (A, f A )/(I, f I ). Let (X, f X ), (Y, f Y ) be partial monounary algebras. We describe all partial monounary algebras (P, f P ) such that (X, f X ) is an ideal of (P, f P ) and (P, f P )/(X, f X ) is isomorphic to (Y, f Y ).

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Authors and Affiliations

  1. Institute of Mathematics, Faculty of Science, P. J. Šafárik University, Jesenná 5, 041 54, Košice, Slovakia

    Danica Jakubíková-Studenovská

Authors
  1. Danica Jakubíková-Studenovská
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Correspondence to Danica Jakubíková-Studenovská.

Additional information

This work was supported by the Slovak VEGA Grant No. 1/3003/06 and by the Science and Technology Assistance Agency under the contract No. APVT-20-004104.

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Jakubíková-Studenovská, D. On ideal extensions of partial monounary algebras. Czech Math J 58, 331–344 (2008). https://doi.org/10.1007/s10587-008-0019-6

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  • DOI: https://doi.org/10.1007/s10587-008-0019-6

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