We introduce a notion of φ-coordinated (quasi) module for a nonlocal vertex algebra and we establish a conceptual construction of nonlocal vertex algebras and their φ-coordinated (quasi) modules. As an application, we associate quantum affine algebras with weak quantum vertex algebras in the sense of [Li3], and we also associate a certain quantum βγ-system with quantum vertex algebras and φ-coo...

The Hardy space on the unit ball in C provides examples of a quasi-free, finite rank Hilbert module which contains a pure submodule isometrically isomorphic to the module itself. For n = 1 the submodule has finite codimension. In this note we show that this phenomenon can only occur for modules over domains in C and for finitely-connected domains only for Hardy-like spaces, the bundle shifts. M...

Let X be a complex analytic manifold, D ⊂ X a locally quasi-homogeneous free divisor, E an integrable logarithmic connection with respect to D and L the local system of the horizontal sections of E on X − D. In this paper we give an algebraic description in terms of E of the regular holonomic DX-module whose de Rham complex is the intersection complex associated with L. As an application, we pe...

This is a paper in a series to study quantum vertex algebras and their relations with various quantum algebras. In this paper, we introduce a notion of T-type quantum vertex algebra and a notion ofG-equivariant φ-coordinated quasi module for a T -type quantum vertex algebra with an automorphism group G. We refine and extend several previous results and we obtain a commutator formula for G-equiv...

Let k be an algebraically closed field of characteristic 0, and let A = k[x, y]/(f) be a quasi-homogeneous plane curve. We show that for any graded torsion free A-module M without free summands, there exists a natural graded integrable connection, i.e. a graded A-linear homomorphism ∇ : Derk(A) → Endk(M) that satisfy the derivation property and preserves the Lie product. In particular, a torsio...

In Escherichia coli, there are 32 open reading frames (ORFs) that are assumed to be response regulator genes of two-component signal transduction systems on the basis of sequence similarities. We cloned all of these 32 ORFs into a multicopy expression vector and investigated whether or not they confer drug resistance via control of drug resistance determinants. Fifteen of these ORFs, i.e., baeR...

EUGEN BAER (b. 19 August 1937). AcademicStatus: Professor of Philosophy. Mail Address: Box 4010 Scandling Center, Geneva, NY 14456, USA. E-mail: . Personal Office Tel: (315) 781-3376; Fax: (315) 781-3348. Educational Background: Ph.d, Yale University,1971. Research Interests: (I) Philosophy of medicine; (2) Philosophy of language; (3) Philosophy of Religion. Professional Backgroun...

To facilitate the identification of appropriate post-fire watershed treatments and minimize erosion effects after socio-economically important fires, Interagency Burned Area Emergency Rehabilitation (BAER) teams produce initial timely estimates of the fire perimeter and classifications of burn severity, forest mortality, and vegetation mortality. Accurate, cost-effective, and minimal time-consu...

let $r$ be a right artinian ring or a perfect commutative‎‎ring‎. ‎let $m$ be a noncosingular self-generator $sum$-lifting‎‎module‎. ‎then $m$ has a direct decomposition $m=oplus_{iin i} m_i$‎,‎where each $m_i$ is noetherian quasi-projective and each‎‎endomorphism ring $end(m_i)$ is local‎.

When pure individual synthetic lecithins became available for study (Baer and Kates, 1949, 1950), there was immediate interest in their possible use in cardiolipin antigens as substitutes for Pangborn lecithin. Rosenberg (1949) reported briefly on synthetic L-c-(dipalmitoyl)-lecithin in antigens for the Hinton, Kline, Rein-Bossack, VDRL, and Kolmer tests. He found that replacement of Pangborn's...