نتایج جستجو برای: perfect rings
تعداد نتایج: 94317 فیلتر نتایج به سال:
The perfect Golay codes lifted over the finite rings Z2m and Z3m, or over their infinite counterparts, namely the 2-adic and 3-adic rings, are considered, and their algebraic decoding is obtained as a non-trivial extension of the algebraic decoding of the perfect Golay codes. Mathematics Subject Classification: 94B15, 94B35, 11D88, 14G50
A ring is called n-perfect (n ≥ 0), if every flat module has projective dimension less or equal than n. In this paper, we show that the n-perfectness relate, via homological approach, some homological dimension of rings. We study n-perfectness in some known ring constructions. Finally, several examples of n-perfect rings satisfying special conditions are given.
0. In [3], Serre has defined the notion of a perfect variety over a field of characteristic p>0. Of course, a perfect variety is, in general, not a variety. The appropriate setting is that of schemes [2]. We show how to construct the perfect closure of a scheme, in particular, of a ring A, of characteristic p. This amounts to showing that the functor 5—>Ylom(A, B) is representable in the catego...
Let R be a perfect ring of characteristic p. We show that the group of continuous R-linear automorphisms of the perfect power series ring over R is generated by the automorphisms of the ordinary power series ring together with Frobenius; this answers a question of Jared Weinstein.
We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective coves are adapted from Azumaya’s generalized projective covers.
We previously showed that the inverse limit of standard-graded polynomial rings with perfect (or semiperfect) coefficient field is a ring in an uncountable number variables. In this paper, we show result holds no hypothesis on field. also prove analogous for ultraproducts rings.
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