A generalization of Grothendieck’s extension Panachées
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We consider an extension problem for exact sequences in an abelian category and provide a criterion under which such a solution, if it exists is unique.
KeywordsAbelian categories Yoneda extensions Baer sums
Mathematics Subject Classification18E10 18G15
The question considered in this paper was asked by Prof. B Kahn and was communicated to the author by Prof. V Srinivas. The author would like to thank Prof. V Srinivas for subsequent discussions and guidance that led to this paper. The author would also like to thank Prof. B Kahn for email communication that led to the formulation of condition (ii) in Theorem 1.1. The author would like to thank the anonymous referee for corrections and valuable suggestions that improved the exposition of the material. The work was completed when the author was a Ph.D. student at TIFR, Mumbai and was supported by the Shyama Prasad Mukherjee Fellowship (File No. SPM-07/858(0139)/2012) funded by CSIR, India.
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