منابع مشابه
Arithmetic Complexity in Ring Extensions
Given a polynomial f with coefficients from a field F, is it easier to compute f over an extension ring R than over F? We address this question, and show the following. For every polynomial f , there is a noncommutative extension ring R such that F is in the center of R and f has a polynomial-size formula over R. On the other hand, if F is algebraically closed, no commutative extension ring R c...
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متن کاملThe Duality between Corings and Ring Extensions
We study the duality between corings and ring extensions. We construct a new category with a self-dual functor acting on it, which extends that duality. This construction can be seen as the non-commutative case of another duality extension: the duality between finite dimensional algebras and coalgebra. Both these duality extensions have some similarities with the Pontryagin-van Kampen duality t...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1983
ISSN: 0018-2079
DOI: 10.32917/hmj/1206133398