Connected objects in categories of S-acts
The main goal of the paper is a description of connected and projective objects of classes of categories that include categories of acts along with categories of pointed acts. In order to establish a general context and to unify the approach to both of the categories of acts, the notion of a concret...
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| Veröffentlicht in: | Semigroup forum 2022-10, Vol.105 (2), p.398-425 |
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| container_title | Semigroup forum |
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| creator | Dvořák, Josef Žemlička, Jan |
| description | The main goal of the paper is a description of connected and projective objects of classes of categories that include categories of acts along with categories of pointed acts. In order to establish a general context and to unify the approach to both of the categories of acts, the notion of a concrete category with a unique decomposition of objects is introduced and studied. Although these categories are not extensive in general, it is proved in the paper that they satisfy a version of extensivity which ensures that every noninitial object is uniquely decomposable into indecomposable objects. |
| doi_str_mv | 10.1007/s00233-022-10306-1 |
| format | Article |
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| subjects | Algebra Categories Decomposition Mathematics Mathematics and Statistics Research Article |
| title | Connected objects in categories of S-acts |
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