A numerically reliable state space algorithm is proposed for computing normalized coprime factorizations of periodic descriptor systems. A preprocessing step is used in the algorithm to convert the initial problem for possibly non-causal systems into a simpler problem for causal periodic systems. The main computational ingredient here is the computation of a coprime factorization with causal fa...

Consider a family of random ordinary differential equations on a manifold driven by vector fields of the form ∑ k Ykαk(z t (ω)) where Yk are vector fields, is a positive number, z t is a 1 L0 diffusion process taking values in possibly a different manifold, αk are annihilators of ker(L0). Under Hörmander type conditions on L0 we prove that, as approaches zero, the stochastic processes y t conve...

A ring R is called a right Ikeda-Nakayama (for short IN-ring) if the left annihilator of the intersection of any two right ideals is the sum of the left annihilators, that is, if (I ∩ J) = (I) + (J) for all right ideals I and J of R. R is called Armendariz ring if whenever polynomials f (x) = a0 + a1x + ··· + amx, g(x) = b0 + b1x + ··· + bnx ∈ R[x] satisfy f (x)g(x) = 0, then aibj = 0 for each ...

Can one represent quantum group covariant q-commuting “creators, annihilators” Ai , A j as operators acting on standard bosonic/fermionic Fock spaces? We briefly address this general problem and show that the answer is positive (at least) in some simplest cases. Talk presented at the XXI International Colloquium on Group Theoretical Methods in Physics (Group21), 15 20 July 1996, Goslar, Germany...

for a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. this class of rings includes the right principally quasi-baer rings and hence all prime rings. a certain n-generalized principally quasi-baer subring of the matrix ring are studied, and connections...

Given a p-adic field K and nilpotent uniform pro-p group G, we prove that all primitive ideals in the K-rational Iwasawa algebra KG are maximal, can be reduced to particular standard form. Setting L as associated Zp-Lie of our approach is study action on Dixmier module D(?)ˆ over affinoid envelope U(L)ˆK, annihilators modules this

Parallel telescoping is a natural generalization of differential creativetelescoping for single integrals to line integrals. It computes a linear ordinary differential operator L, called a parallel telescoper, for several multivariate functions, such that the applications of L to the functions yield antiderivatives of a single function. We present a necessary and sufficient condition guaranteei...