Left-outtermost extension of some varieties

• Autorzy: Płonka J.
• Języki publikacji: EN

Abstrakty

EN

Let r : F - > N be a type of algebras F is a nonempty set of fundamental operation symbols and N is the set of all positive integers. An identity ip fa if) of type T we call left-outermost if the left-outermost variables in ip and ip are the same. For a variety V of type r we denote by Vi the variety of type r defined by all left-outermost identities from Id(V). Vl is called the left-outermost extension of V. In this paper we study minimal generics, subdirectly irreducible algebras and lattices of subvarieties in left-outermost extensions of some generalizations of the variety D of all distributive lattices.

Słowa kluczowe

EN

distributive lattice; minimal generic; subdirectly irreducible algebra; left-outermost identity

PL

kratownica

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 1
• Strony: 37--51
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Płonka J.

• Mathematical Institute, The Polish Academy Sciences, Kopernika 18, 51-617 Wrocław, Poland

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