λ-complete near-rings
نویسندگان
چکیده
منابع مشابه
Cohomology of Λ-rings
A cohomology theory for λ-rings is developed. This is then applied to study deformations of λ-rings.
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We introduce the notion of a Schur-finite element in a λ-ring. Since the beginning of algebraic K-theory in [G57], the splitting principle has proven invaluable for working with λ-operations. Unfortunately, this principle does not seem to hold in some recent applications, such as the K-theory of motives. The main goal of this paper is to introduce the subring of Schur-finite elements of any λ-r...
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We define the field F1 of one element as a λ-ring Z with the canonical λ-structure. We show that we can calculate the Riemann zeta function of integers in two ways: the first, geometrical, as the zeta function of the affine line F1[x] over F1 and the second, categorical, using a suitable category of modules over F1.
متن کاملEtale Extensions of Λ-rings
Given a λ-ring A and a formally etale morphism f : A→ B of commutative rings, one may ask: What are the possible λ-ring strutures on B such that f is a map of λ-rings? We give the answer: Such a lifted λ-ring structure on B is determined uniquely by a compatible choice of lifts of the Adams operations ψ from A to B for all primes p which satisfy Frobenius congruences. In other words, to extend ...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1975
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-87-1-73-78