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Preliminaries and Summary

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Homological Algebra of Semimodules and Semicontramodules

Part of the book series: Monografie Matematyczne ((MONOGRAFIE,volume 70))

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Abstract

This chapter contains some known results and some results deemed to be new, but no proofs. Its goal is to prepare the reader for the more technically involved constructions of the main body of the monograph (where the proofs are given). In particular, we do not have to worry about nonassociativity of the cotensor product and partial definition of the semitensor product here, distinguish between the myriad of notions of absolute/relative coflatness/coprojectivity/injectivity of comodules and analogously for contramodules, etc., because we only consider coalgebras over fields.

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Correspondence to Leonid Positselski .

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Positselski, L., Arkhipov, S., Rumynin, D. (2010). Preliminaries and Summary. In: Homological Algebra of Semimodules and Semicontramodules. Monografie Matematyczne, vol 70. Springer, Basel. https://doi.org/10.1007/978-3-0346-0436-9_1

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