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On equations of clones

100%

Schweigert D.

Banach Center Publications

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1988

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tom 21

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nr 1

369-375

2

The dimension of a variety

84%

Graczyńska E., Schweigert D.

Discussiones Mathematicae - General Algebra and Applications

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2007

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tom 27

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nr 1

35-47

EN

Derived varieties were invented by P. Cohn in [4]. Derived varieties of a given type were invented by the authors in [10]. In the paper we deal with the derived variety $V_{σ}$ of a given variety, by a fixed hypersubstitution σ. We introduce the notion of the dimension of a variety as the cardinality κ of the set of all proper derived varieties of V included in V. We examine dimensions of some varieties in the lattice of all varieties of a given type τ. Dimensions of varieties of lattices and all subvarieties of regular bands are determined.

3

Power-ordered sets

84%

Goldstern M., Schweigert D.

Discussiones Mathematicae - General Algebra and Applications

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2002

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tom 22

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nr 1

39-46

EN

We define a natural ordering on the power set 𝔓(Q) of any finite partial order Q, and we characterize those partial orders Q for which 𝔓(Q) is a distributive lattice under that ordering.

Ograniczanie wyników

2 Discussiones Mathematicae - General Algebra and Applications

1 Banach Center Publications

3 Schweigert D.

1 Goldstern M.

1 Graczyńska E.

1 2007

1 2002

1 1988

On equations of clones

The dimension of a variety

Power-ordered sets