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THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE:INTEGRALITY RESULTS
RELATIONS FOR THE RING INVARIANTS OF n POINTS ON THE LINE INTEGRALITY RESULTS
2015/10/14
Consider the projective coordinate ring of the GIT quotient (P1)n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2]we s...
On the graded quotients of the ring of Fricke characters of a free group
Ring of Fricke characters Automorphism groups of free groups Andreadakis-Johnson filtration
2012/6/27
First, we study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of a free group acts. Then using it, we define a descendin...
Not every object in the derived category of a ring is Bousfield equivalent to a module
Not every object derived category ring Bousfield equivalent module
2012/3/1
We consider the derived category of a specific non-Noetherian ring \Lambda, and show that there are objects in D(\Lambda) that are not Bousfield equivalent to any module. This answers a question posed...
On the derived category of a graded commutative noetherian ring
Localizing subcategories graded ring weighted projective scheme
2011/9/20
Abstract: For any graded commutative noetherian ring, where the grading group is abelian and where commutativity is allowed to hold in a quite general sense, we establish an inclusion-preserving bijec...
On $p-$Ring
von Neumann regular ring, p-ring, trivial rings extension and amalgamation of rings
2011/8/24
Abstract: In this paper, we introduced the concept of a $p$-ideal for a given ring. We provide necessary and sufficient condition for $\dfrac{R[x]}{(f(x))}$ to be a $p$-ring, where $R$ is a finite $p$...
Linear groups over a locally linear division ring
Division ring algebraic strongly algebraic locally linear linear groups
2011/2/28
In this paper, in the first we give definitions of some classes of division rings which strictly contain the class of centrally finite division rings. One of our main purpose is to construct non-trivi...
Support convergence in the single ring theorem
Randommatrices non-commutativemeasure Schwinger–Dyson equation
2011/1/21
We study the eigenvalues of non-normal square matrices of the form An =UnTnVn with Un,Vn independent Haar distributed on the unitary group and Tn real diagonal. We show that when the empirical measure...
Cyclotomic Matrices and Graphs over the ring of integers of some imaginary quadratic fields
Cyclotomic Matrices Graphs imaginary quadratic fields
2010/11/18
We determine all Hermitian $\mathcal{O}_{\Q(\sqrt{d})}$-matrices for which every eigenvalue is in the interval [-2,2], for each d in {-2,-7,-11,-15\}. To do so, we generalise charged signed graphs to...
We propose a methodology to construct excited states with a fixed angular momentum, namely,
“yrast excited states” of finite-size one-dimensional bosonic systems with periodic boundary conditions.
Equivariant total ring of fractions and factoriality of rings generated by semiinvariants
Equivariant total ring of fractions and factoriality of rings generated by semiinvariants
2010/12/13
Let F be an affine flat group scheme over a commutative ring R,and S an F-algebra (an R-algebra on which F acts). We define an equivariant analogue QF (S) of the total ring of fractions Q(S) of S.It i...
Hecke Ring of $(\symg{2n},\hypero{n})$: Generators and the Farahat-Higman Ring
20C08 33C80. Hecke algebra symmetric space Farahat-Higman ring center of the symmetric group ring
2010/12/14
In this work, we present a set of ring generators for the Hecke ring of the Gel’fand pair (S2n;Bn), where Bn is the hyperoctahedral subgroup of the symmetric group S2n, following the work of Farahat a...
Simplex Codes Over the Ring \sumn=0sun F2
Simplex codes chain rings Zps-codes and \sumn=0n=sun F2-linear codes
2010/2/26
In this paper, we introduce simplex linear codes over the ring \sumn=0n=sun F2 of types a and b, where us+1=0. And we determine their properties. These codes are an extension and generalization of sim...
In this paper, the k-derivation is defined on a G-ring M (that is, if M is a G-ring, d:M\to M and k:G\to G are to additive maps such that d(ab b )= d(a)b b + ak(b)b + ab d(b) for all a,b\in M, \quad b...