代数群的反模：假投影的存在性
Contramodules for algebraic groups: the existence of mock projectives
AI总结：
本文研究了代数群的反模，证明了在相同条件下假投影反模的存在性，并发展了反模的相应构造。
摘要：
设 $G$ 是一个有限特征的代数闭域上的仿射代数群。Hardesty、Nakano 和 Sobaje 的近期工作给出了所谓“假单射 $G$-模存在性的必要且充分条件，即这些模在限制到 $G$ 的弗罗贝尼乌斯核时为单射。在本文中，我们为反模给出了类似的结果，包括证明相同的必要且充分条件保证假投影反模的存在性。为此，我们首先发展了许多众所周知的（余）模构造的反模类比。
英文摘要：
Let $G$ be an affine algebraic group over an algebraically closed field of positive characteristic. Recent work of Hardesty, Nakano, and Sobaje gives necessary and sufficient conditions for the existence of so-called mock injective $G$-modules, that is, modules which are injective upon restriction to all Frobenius kernels of $G$. In this paper, we give analogous results for contramodules, including showing that the same necessary and sufficient conditions on $G$ guarantee the existence of mock-projective contramodules. In order to do this we first develop contramodule analogs to many well-known (co)module constructions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
