Minimal generics from subvarieties of the clone extension of the variety of Boolean algebras

• Autorzy: Jerzy Płonka
• Języki publikacji: EN

Abstrakty

EN

Let τ be a type of algebras without nullary fundamental operation symbols. We call an identity φ ≈ ψ of type τ clone compatible if φ and ψ are the same variable or the sets of fundamental operation symbols in φ and ψ are nonempty and identical. For a variety 𝓥 of type τ we denote by $𝓥^{c}$ the variety of type τ defined by all clone compatible identities from Id(𝓥). We call $𝓥^{c}$ the clone extension of 𝓥. In this paper we describe algebras and minimal generics of all subvarieties of $𝓑^{c}$, where 𝓑 is the variety of Boolean algebras.

Kategorie tematyczne

• 08A05: Structure theory
• 08B15: Lattices of varieties
• 08A35: Automorphisms, endomorphisms
• 08B26: Subdirect products and subdirect irreducibility

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 112
• Numer: 1
• Strony: 131-145

Daty

wydano

2008

Twórcy

autor

Jerzy Płonka

• Institute of Mathematics, Polish Academy of Sciences, Kopernika 18, 51-617 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm112-1-6