“SplitShortExactSequence”的概念、定义、习题解题方法及翻译-数学辞典

单词	SplitShortExactSequence
释义	split short exact sequence In an abelian category, a short exact sequence $0\\to A\\buildrel f\\over{\\to}B\\buildrel g\\over{\\to}C\\to 0$ is splitif it satisfies the following equivalent conditions: (a) there exists a homomorphism $h:C\\to B$ such that $gh=1_{C}$ ; (b) there exists a homomorphism $j:B\\to A$ such that $jf=1_{A}$ ; (c) $B$ is isomorphic to the direct sum $A\\oplus C$ . In this case, we say that $h$ and $j$ are backmaps or splitting backmaps.
随便看	ProofOfEstimatingTheoremOfContourIntegral proof of estimating theorem of contour integral ProofOfEulerFermatTheorem proof of Euler-Fermat theorem ProofOfEulerFermatTheoremUsingLagrangesTheorem proof of Euler-Fermat theorem using Lagrange’s theorem ProofOfEulerFoursquareIdentity proof of Euler four-square identity ProofOfEulerMaclaurinSummationFormula proof of Euler-Maclaurin summation formula ProofOfEulersCriterion proof of Euler’s criterion ProofOfEveryFilterIsContainedInAnUltrafilteralternateProof proof of every filter is contained in an ultrafilter (alternate proof) ProofOfExampleOfMedialQuasigroup proof of example of medial quasigroup ProofOfExhaustionByCompactSetsFormathbbRn proof of exhaustion by compact sets for ℝ^n ProofOfExistenceAndUnicityOfSelfsimilarFractals proof of existence and unicity of self-similar fractals ProofOfExistenceAndUniquenessOfBestApproximations proof of existence and uniqueness of best approximations ProofOfExistenceAndUniquenessOfSingularValueDecomposition proof of existence and uniqueness of singular value decomposition ProofOfExistenceOfTheEssentialSupremum

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

split short exact sequence