نتایج جستجو برای: polynomial ring
تعداد نتایج: 216293 فیلتر نتایج به سال:
Abstract An explicit description of the ring rational polynomials in r indeterminates as a representation Lie algebra endomorphisms k -th exterior power countably infinite-dimensional vector space is given. Our based on results by Laksov and Throup concerning symmetric structure polynomial ring. are approximate versions vertex operators occurring celebrated bosonic representation, due to Date, ...
F [D] of Weyl type was defined and studied, where A is a commutative associative algebra with an identity element over a field F of arbitrary characteristic, and F [D] is the polynomial algebra of a commutative derivation subalgebra D of A. The 2-cocycles of a class of A[D] were determined by Su. In the present paper, we determine the 2-cocycles of a class of Lie superalgebras of Weyl type over...
Let Fq[x, y] be the polynomial algebra in two variables over the finite field Fq with q elements. We give an exact formula and the asymptotics for the number pn of automorphisms (f, g) of Fq[x, y] such that max{deg(f), deg(g)} = n. We describe also the Dirichlet series generating function p(s) = ∑
for the first time nakayama introduced qf-ring. in 1967 carl. faith and elbert a. walker showed that r is qf-ring if and only if each injective right r-module is projective if and only if each injective left r-modules is projective. in 1987 s.k.jain and s.r.lopez-permouth proved that every ring homomorphic images of r has the property that each cyclic s-module is essentialy embeddable in dire...
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an additive generating set and a multilinear polynomial over that ring, also accessed as a black-box function (we allow the indeterminates of the polynomial to be commuting or noncommuting), we study the problem of testing i...
For a hyperplane arrangement in real vector space, the coefficients of its Poincaré polynomial have many interpretations. An interesting one is provided by Varchenko-Gel'fand ring, which ring functions from chambers to integers with pointwise addition and multiplication. Varchenko Gel'fand gave simple presentation for this along filtration associated graded whose Hilbert series polynomial. We g...
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