In the paper, we study equations in one variable over free semilattices. We show that the average number of solutions of a random equation over a free semilattice of 3n + 2 • 2n a rank n is equal to - -. It is proved that the average number of irreducible components of algebraic sets defined by equations over a free semilattice of a countable rank is equal to 1.
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- Title Random equations over free semilattices
- Headline Random equations over free semilattices
- Publesher
Tomsk State University - Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 36
- Date:
- DOI 10.17223/20710410/36/1
Keywords
свободная полурешётка, уравнение, неприводимые компоненты, free semilattice, equation, irreducible componentsAuthors
References
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Random equations over free semilattices | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2017. № 36. DOI: 10.17223/20710410/36/1
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