HYPERIDENTITIES OF LEFT AND RIGHT DISTRIBUTIVITIES IN VARIETIES OF SEMI­GROUPS

Authors

  • Yu. M. Movsisian Chair of Algebra and Geometry, YSU, Armenia
  • I. R. Simonian Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSUA.2000.34.1.028

Keywords:

superidentity, presuperidentity, right distributivities, various ranks

Abstract

An equality in a semigroup variety is called a superidentity if, substituting any term of the variety into the functional symbols of this equality, we obtain identities. Accordingly, an equality in a semigroup variety is called a presuperidentity if, substituting any term of the variety, excluding projection terms, we obtain identities into the functional symbols of this equality. In this paper, satisfiability criteria for superidentities and presuperidentities of left and right distributivities of various ranks were found.

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Published

2000-04-26

Issue

Vol. 34 No. 1 (192) (2000)

Section

Mathematics

License

Copyright (c) 2000 Proceedings of the YSU

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Movsisian, Y. M., & Simonian, I. R. (2000). HYPERIDENTITIES OF LEFT AND RIGHT DISTRIBUTIVITIES IN VARIETIES OF SEMI­GROUPS. Proceedings of the YSU A: Physical and Mathematical Sciences, 34(1 (192), 28-32. https://doi.org/10.46991/PYSUA.2000.34.1.028

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