Wyniki wyszukiwania

1

Equimorphy in varieties of double Heyting algebras

100%

Koubek V., Sichler J.

Colloquium Mathematicum

|

1998

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tom 77

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nr 1

41-58

EN

We show that any finitely generated variety V of double Heyting algebras is finitely determined, meaning that for some finite cardinal n(V), any class $\Cal S$ ⊆ V consisting of algebras with pairwise isomorphic endomorphism monoids has fewer than n(V) pairwise non-isomorphic members. This result complements the earlier established fact of categorical universality of the variety of all double Heyting algebras, and contrasts with categorical results concerning finitely generated varieties of distributive double p-algebras.

2

Almost ff-universal and q-universal varieties of modular 0-lattices

100%

Koubek V., Sichler J.

Colloquium Mathematicum

|

2004

|

tom 101

|

nr 2

161-182

EN

A variety 𝕍 of algebras of a finite type is almost ff-universal if there is a finiteness-preserving faithful functor F: 𝔾 → 𝕍 from the category 𝔾 of all graphs and their compatible maps such that Fγ is nonconstant for every γ and every nonconstant homomorphism h: FG → FG' has the form h = Fγ for some γ: G → G'. A variety 𝕍 is Q-universal if its lattice of subquasivarieties has the lattice of subquasivarieties of any quasivariety of algebras of a finite type as the quotient of its sublattice. For a variety 𝕍 of modular 0-lattices it is shown that 𝕍 is almost ff-universal if and only if 𝕍 is Q-universal, and that this is also equivalent to the non-distributivity of 𝕍.

3

Homomorphisms of unary algebras and of their expansions

81%

Lampe W. A., Sichler J., Trnková V.

Colloquium Mathematicum

|

1993

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tom 64

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nr 1

79-92

4

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Frattini sublattices in varieties of lattices

60%

Adams M. E., Sichler J.

Colloquium Mathematicum

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1981

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tom 44

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nr 2

181-184

5

Agassiz sum of algebras

50%

Grätzer G., Sichler J.

Colloquium Mathematicum

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1974

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tom 30

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nr 1

57-59

Ograniczanie wyników

5 Colloquium Mathematicum

5 Sichler J.

2 Koubek V.

1 Adams M. E.

1 Grätzer G.

1 Lampe W. A.

1 Trnková V.

1 2004

1 1998

1 1993

1 1981

1 1974

Equimorphy in varieties of double Heyting algebras

Almost ff-universal and q-universal varieties of modular 0-lattices

Homomorphisms of unary algebras and of their expansions

Frattini sublattices in varieties of lattices

Agassiz sum of algebras