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Right projective semigroups with 0

✍ Scribed by Eckehart Hotzel

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
249 KB
Volume
170
Category
Article
ISSN
0022-4049

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✦ Synopsis

We describe the semigroups S with 0 that are projective in the category of right S-objects, i.e. of centered right S-operands. Among them are the free semigroups with an adjoined zero, and several characterizations of this subclass are given. Two other classes, one of them close to free semigroups with 0, the other rather far apart, are discussed in detail. The ΓΏrst class consists of semigroups of ΓΏnite and inΓΏnite sequences, with multiplication based on concatenation. The second is formed by the projectives in the category of (S; S)-biobjects.

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