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We study an intrinsic cohomology theory of Koszul-Vinberg algebras and their modules. Our results may be regarded as improvements of the attempt by Albert Nijenhuis in 1969. In particular, we completely solve a fundamental problem raised by M. Gerstenhaber. A short appendix is devoted to the relationships between our results and the pioneering work of Nijenhuis.
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Michel Nguiffo Boyom (2006) studied this question.
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