Algebraic sets defined by the commutator matrix
نویسندگان
چکیده
In this paper we study algebraic sets of pairs matrices defined by the vanishing either diagonal their commutator matrix or its anti-diagonal. We find systems parameters for coordinate rings these two and intersection show that they are complete intersections. Moreover, prove F-pure over a field positive prime characteristic set with zero is F-regular.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.09.012