Algebraic exponentiation for categories of Lie algebras

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• 作者：James Richard Andrew Gray ; ^{james.r.a.gray@gmail.com}
• 关键词：8A40 ; 16W25 ; 17B99 ; 16S30 ; 18A25 ; 18A22 ; 18A35 ; 18A30 ; 18C15 ; 18C20 ; 18A99 ; 18D15
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2012
• 期刊代码：35_00224049
• 类别：mt
• 出版时间：August, 2012
• 卷：216
• 期：8-9
• 页码：1964-1967
• 文件大小：189 K

摘要

For a category , D. Bourn鈥檚 categories of points (categories of split epimorphisms with fixed codomain) can be defined as categories of the form for some in . A categorical-algebraic concept of exponentiation, namely, right adjoints for the pullback functors between D. Bourn鈥檚 categories of points, was introduced and studied in the author鈥檚 Ph.D. Thesis. We show for every category of Lie algebras over a fixed commutative unital ring, that all exponents exist.