Corpus ID: 119146392

On disjunction of equations in completely regular semigroups

@article{Shevlyakov2013OnDO,
  title={On disjunction of equations in completely regular semigroups},
  author={A. Shevlyakov},
  journal={arXiv: Algebraic Geometry},
  year={2013}
}
  • A. Shevlyakov
  • Published 2013
  • Mathematics
  • arXiv: Algebraic Geometry
  • A semigroup $S$ is called an equational domain if any finite union of algebraic sets over $S$ is algebraic. We prove if a completely regular semigroup $S$ is an equational domain then $S$ is completely simple. 
    On disjunctions of algebraic sets in completely simple semigroups
    2
    Lectures notes in universal algebraic geometry

    References

    Publications referenced by this paper.
    SHOWING 1-6 OF 6 REFERENCES
    Fundamentals of semigroup theory
    1700
    Unification theorems in algebraic geometry
    63
    Algebraic geometry over algebraic structures. IV. Equational domains and codomains
    33
    Algebraic Geometry over Groups
    162
    ALGEBRAIC GEOMETRY OVER GROUPS II. LOGICAL FOUNDATIONS
    120
    Semigroups Admitting Relative Inverses
    105