Wyniki wyszukiwania

1

Generators in the category of S-posets

100%

Laan V.

Open Mathematics

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2008

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tom 6

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nr 3

357-363

EN

The paper contains characterizations of generators and cyclic projective generators in the category of ordered right acts over an ordered monoid.

2

On homological classification of pomonoids by regular weak injectivity properties of S-posets

63%

Zhang X., Laan V.

Open Mathematics

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2007

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tom 5

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nr 1

181-200

EN

If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different types of right ideals of S to S. We give an alternative description of such properties which uses systems of equations. Using these properties we prove several so-called homological classification results which generalize the corresponding results for (unordered) acts over (unordered) monoids proved by Victoria Gould in the 1980’s.

3

Erratum to “On homological classification of pomonoids by regular weak injectivity properties of S-posets”

63%

Zhang X., Laan V.

Open Mathematics

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2009

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tom 7

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nr 1

163-164

EN

The original version of the article was published in Central European Journal of Mathematics, 2007, 5(1), 181–200, DOI: 10.2478/s11533-006-0036-3. Unfortunately, the original version of this article contains a mistake: in Theorem 5.2 only conditions (i) and (ii) (and not (iii)) are equivalent. We correct the theorem and its proof.

Ograniczanie wyników

3 Open Mathematics

3 Laan V.

2 Zhang X.

1 2009

1 2008

1 2007

Generators in the category of S-posets

On homological classification of pomonoids by regular weak injectivity properties of S-posets

Erratum to “On homological classification of pomonoids by regular weak injectivity properties of S-posets”