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...

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...

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 −...

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)}...

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...

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

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...

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

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...

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...

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...

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...

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...

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...

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...

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

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...

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

over a ring R (whose identities are the zero 0 and one 1), where each block along the diagonal, called a Jordan block, has the following form: [ λ 1 0 ⋯...

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...

weaker than those of 𝜎-algebra. Dynkin systems are sometimes referred to as 𝜆-systems (Dynkin himself used this term) or d-system. These set families have...

{n}{d}}} generates a polynomial ring K[Λ(n,d)] over a field K. There is a homomorphism Φ(n,d) from K[Λ(n,d)] to the polynomial ring K[xi,j] in nd indeterminates...

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...

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...

of) the ring of integers o K {\displaystyle {\mathfrak {o}}_{K}} of K {\displaystyle K} , then the ring of analytic automorphisms of E = C / Λ {\displaystyle...

\textstyle \log(1-tS)=-\sum _{i>0}{\frac {1}{i}}(tS)^{i}} ). Let Λ {\displaystyle \Lambda } be the ring of symmetric functions and R {\displaystyle R} a commutative...

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...

n ) { ∑ λ 1 + 2 λ 2 + ⋯ + k λ k = n λ 1 , λ 2 , … , λ k | n ( λ 1 + λ 2 + ⋯ + λ k ) ! 1 ! 2 ! ⋯ k ! ( − 1 ) k f ( λ 1 ) f ( λ 2 ) 2 ⋯ f ( λ k ) k } ...