Generators in the category of S-posets
The paper contains characterizations of generators and cyclic projective generators in the category of ordered right acts over an ordered monoid.
On homological classification of pomonoids by regular weak injectivity properties of S-posets
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...
Erratum to “On homological classification of pomonoids by regular weak injectivity properties of S-posets”
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.
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