We define and study the Burnside quotient Green ring of a Mackey functor, introduced in our MSRI preprint [16]. Some refinements of Dress induction theory are presented, together with applications to computation results for K-theory and L-theory of finite and infinite groups.

In this note we study a certain formal group law over a complete discrete valuation ring F[[un−1]] of characteristic p > 0 which is of height n over the closed point and of height n− 1 over the generic point. By adjoining all coefficients of an isomorphism between the formal group law on the generic point and the Honda group law Hn−1 of height n − 1, we get a Galois extension of the quotient fi...

The prime and primitive spectra of Oq(k), the multiparameter quantized coordinate ring of affine n-space over an algebraically closed field k, are shown to be topological quotients of the corresponding classical spectra, specO(kn) and maxO(kn) ≈ kn, provided the multiplicative group generated by the entries of q avoids −1.

The aim of this paper is to analyze and compare two time–domain parameterization methods of the glottal flow waveform on a large intensity range. The first parameter is the classical closing quotient which indicates the portion of a period where the glottis is closing. The second parameter is the recently developed normalized amplitude quotient which is defined using the ratio between the maxim...

In this article, we present the structure of η-intuitionistic fuzzy ring. An ring is a which built with combinating definition ring, intuitionistic set, and set. The set characterized by any value η∈[0,1], where degree membership μ_(A^η ) (k) obtained based on averaging operator μ_A η∈[0,1]. While non ν_(A^η ν_A 1-η∈[0,1]. its development, new concepts were obtained, namely ideal properties rel...

We study the ideal generated by constant-term free B-quasisymmetric polynomials, and prove that the quotient of the polynomial ring by this ideal has dimension given by 1 2n+1 ` 3n

We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkähler quotient to the cohomology ring of the quotient by a maximal abelian subgroup, analogous to a theorem of Martin for symplectic quotients. We discuss applications of this theorem to quiver varieties, and compute as an example the ordinary and equivariant cohom...

Generic linkage is used to compute a prime ideal such that the radical of the initial ideal of the prime ideal is equal to the radical of a given codimension two monomial ideal that has a Cohen-Macaulay quotient ring.

The motivation for computing in a suitably chosen homomorphic image of the original problem domain is that the computation there is either easier or is possible, whereas in the original domain it was either harder or impossible. For example, any homomorphic image of the infinite ring of integers is a finite ring, and computation in a finite set is usually easier than in an infinite set; as we h...

We establish a bridge between homotopy groups of spheres and commutator calculus in groups, solve this manner the “dimension problem” by providing converse to Sjogren's theorem: every abelian group bounded exponent can be embedded dimension quotient group. This is proven embedding for arbitrary s , d $s,d$ torsion π ( S ) $\pi _s(S^d)$ into quotient, via result Wu. In particular, invalidates so...