Algebraic exponentiation for categories of Lie algebras

作者：Gray James Richard Andrew^*

来源：Journal of Pure and Applied Algebra, 2012, 216(8-9): 1964-1967.

DOI：10.1016/j.jpaa.2012.02.034

For a category C, D. Bourn%26apos;s categories of points (categories of split epimorphisms with fixed codomain) can be defined as categories of the form ((B, 1(B)) down arrow (C down arrow B)) for some B in C. A categorical-algebraic concept of exponentiation, namely, right adjoints for the pullback functors between D. Bourn%26apos;s categories of points, was introduced and studied in the author%26apos;s Ph.D. Thesis. We show for every category of Lie algebras over a fixed commutative unital ring, that all exponents exist.

• 出版日期2012-8