On the structure of A/k-bialgebras in prime characteristic
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DOI: 10.1080/00927872.2018.1498857
Abstract: Abstract In this paper, we study A/k-bialgebras in prime characteristic. Firstly, we prove a Cartier type structure theorem for cocomplete A/k-bialgebras. Secondly, we generalize Michaelis’s theorem. In particular, we prove that a restricted (k, K)-Lie… read more here.
Keywords: prime characteristic; bialgebras prime; structure bialgebras;
Multiplicity bounds in prime characteristic
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DOI: 10.1080/00927872.2018.1513014
Abstract: Abstract We extend a result by Huneke and Watanabe bounding the multiplicity of F-pure local rings of prime characteristic in terms of their dimension and embedding dimensions to the case of F-injective, generalized Cohen–Macaulay rings.… read more here.
Keywords: multiplicity; cohen macaulay; multiplicity bounds; bounds prime ... See more keywords
Uniform approximation of Abhyankar valuation ideals in function fields of prime characteristic
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DOI: 10.1090/tran/7917
Abstract: We prove the prime characteristic analogue of a characteristic 0 0 result of Ein, Lazarsfeld, and Smith on uniform approximation of valuation ideals associated with real-valued Abhyankar valuations centered on regular varieties. read more here.
Keywords: prime characteristic; uniform approximation; approximation abhyankar; valuation ideals ... See more keywords