Hereditary endomorphism monoids of projective acts |
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Authors: | Ulrich Knauer Peeter Normak |
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Affiliation: | 1. Fachbereich Mathematik, Universit?t Oldenburg, 2900, Oldenburg, FR Germany 2. Informaatika Kateeder, E. Vilde nim. Tallinna, Pedagoogiline Instituut, 200102, Tallinn, USSR
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Abstract: | ![]() Projective acts whose endomorphism monoids are left or right (semi-) hereditary are characterized. For example, it is shown that for a noncyclic free or projective S-act P, End P is left (semi) hereditary if and only if P ≈ Se1 Π Se2 and e1Se1, e2Se2 are groups. |
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