λ-ring or lambda ring is a commutative ring together with some operations λn on it that behave like the exterior powers of vector spaces. Many rings considered...

13 known rings are designated 1986U2R/ζ, 6, 5, 4, α, β, η, γ, δ, λ, ε, ν and μ. Their radii range from about 38,000 km for the 1986U2R/ζ ring to about...

topological ring. A λ-ring is a commutative ring R together with operations λn: R → R that are like nth exterior powers: λ n ( x + y ) = ∑ 0 n λ i ( x ) λ n −...

operations Ψk are ring homomorphisms of R(G) to itself, and on representations ρ of dimension d Ψ k ( ρ ) = N k ( Λ 1 ρ , Λ 2 ρ , … , Λ d ρ )   {\displaystyle...

generally in any λ-ring. Adams operations ψk on K theory (algebraic or topological) are characterized by the following properties. ψk are ring homomorphisms...

dark ring on the focal plane is solely given by the numerical aperture A (closely related to the f-number) by q 1 = R sin ⁡ θ 1 ≈ 1.22 R λ d = 1.22 λ 2 A...

Breach Science Publishers. ISBN 978-0-677-30020-7. OCLC 886098. ∞-groupoid λ-ring AB5 category Abelian category Accessible category Algebraic geometry Algebraic...

variable scalar element of the base ring, and In is the n × n identity matrix. Since each entry of the matrix ( λ I n − A ) {\displaystyle (\lambda I_{n}-A)}...

from above, with a dark center, the radius of the Nth bright ring is given by r N = [ λ R ( N − 1 2 ) ] 1 / 2 , {\displaystyle r_{N}=\left[\lambda R\left(N-{1...

the algebraic multiplicity, det ( A − λ I ) = ( λ 1 − λ ) μ A ( λ 1 ) ( λ 2 − λ ) μ A ( λ 2 ) ⋯ ( λ d − λ ) μ A ( λ d ) . {\displaystyle \det(A-\lambda...

multiplication turning K0 into a commutative ring with the class [A] as identity. The exterior product similarly induces a λ-ring structure. The Picard group embeds...

mathematics, the ring of polynomial functions on a vector space V over a field k gives a coordinate-free analog of a polynomial ring. It is denoted by...

aromaticity with respect to the observed ring current. One method is called diamagnetic susceptibility exaltation Λ defined as the difference between the...

coefficient ring Λ {\displaystyle \Lambda } of the homotopy quotient E G × G X {\displaystyle EG\times _{G}X} : H G ∗ ( X ; Λ ) = H ∗ ( E G × G X ; Λ ) . {\displaystyle...

round trip in the interferometer ring. The difference in travel times, when multiplied by the optical frequency c / λ , {\displaystyle c/\lambda ,} determines...

Witt ring W is the quotient. The exterior power gives the Grothendieck–Witt ring the additional structure of a λ-ring. The Grothendieck–Witt ring of C...

A vortex ring, also called a toroidal vortex, is a torus-shaped vortex in a fluid; that is, a region where the fluid mostly spins around an imaginary axis...

the axioms that * on A is conjugate-linear in R, meaning (λ x + μ y)* = λ′ x* + μ′ y* for λ, μ ∈ R, x, y ∈ A. A *-homomorphism f : A → B is an algebra...

ring and n a positive integer. Binomial rings were introduced by Hall (1969). Elliott (2006) showed that binomial rings are essentially the same as λ-rings...

Meissa /ˈmaɪsə/, designated Lambda Orionis (λ Orionis, abbreviated Lambda Ori, λ Ori) is a star in the constellation of Orion. It is a multiple star approximately...

A is a net { e λ : λ ∈ Λ } {\displaystyle \{e_{\lambda }:\lambda \in \Lambda \}} such that for every element a of A, lim λ ∈ Λ ‖ a e λ − a ‖ = 0. {\displaystyle...

λ 1 1 λ 1 λ 1 ⌝ ⌜ λ 2 1 λ 2 ⌝ [ λ 3 ] ⋱ ⌜ λ n 1 λ n ⌝ ⌜ λ 1 1 λ 1 1 λ 1 ⌝ ⌜ λ 2 1 λ 2 ⌝ [ λ 3 ] ⋱ ⌜ λ n 1 λ n ⌝ ⌞ λ 1 1 λ 1 λ 1 ⌟ ⌜ λ 2 1 λ 2 ⌝ [ λ 3...

mathematics, especially in the field of algebra, a polynomial ring or polynomial algebra is a ring formed from the set of polynomials in one or more indeterminates...

Exp(G) has the structure of a λ-ring. The exp ring of an infinite cyclic group such as the integers is a polynomial ring in a countable number of generators...

output bus waveguide, the wavelength of the light in each ring must be same. That is, λ 1 = λ 2 {\displaystyle \lambda _{1}=\lambda _{2}} for resonance...

torsion. Let R be any commutative ring with unit and Λ the ring of formal power series of the form λ = ∑ A ∈ H 2 ( X ) λ A e A , {\displaystyle \lambda =\sum...

(λB = 0), this equation reduces to the previous solution: lim λ B → 0 [ N A 0 λ A λ B − λ A ( e − λ A t − e − λ B t ) ] = N A 0 λ A 0 − λ A ( e − λ A...

cohomology ring of a topological space X is a ring formed from the cohomology groups of X together with the cup product serving as the ring multiplication...

2, and a symmetric monoidal category if n ≥ 3. If Λ is a commutative ring, then X ↦ C ∗ ( Ω n X ; Λ ) {\displaystyle X\mapsto C_{*}(\Omega ^{n}X;\Lambda...

algebra Λ over a commutative Artin ring R that is a finitely generated R-module. They are named after Emil Artin. Every Artin algebra is an Artin ring. There...