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

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Zhang X., Laan V.

Open Mathematics

2007

tom 5

nr 1

181-200

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.

Ograniczanie wyników

1 Open Mathematics

1 Laan V.

1 Zhang X.

1 2007

Wyniki wyszukiwania

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