منابع مشابه
Cohomology of Λ-rings
A cohomology theory for λ-rings is developed. This is then applied to study deformations of λ-rings.
متن کاملSchur-finiteness in Λ-rings
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...
متن کاملRiemann zeta via λ - rings
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 ...
متن کاملOn λ-rings and topological realization
A λ-ring is, roughly speaking, a commutative ring R with unit together with operations λi, i ≥ 0, on it that act like the exterior power operations. It is widely used in algebraic topology, algebra, and representation theory. For example, the complex representation ring R(G) of a group G is a λ-ring, where λi is induced by the map that sends a representation to its ith exterior power. Another e...
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ژورنال
عنوان ژورنال: Filomat
سال: 2019
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1916125k