In the present paper, we give a short proof of the nuclearity property of a class of CuntzPimsner algebras associated with a HilbertA-bimodule M, whereA is a separable and nuclear C*-algebra. We assume that the left A-action on the bimodule M is given in terms of compact module operators and that M is direct summand of the standard Hilbert module over A.

For each prime l with l ≡ 7 (mod 8), we define an action of the ring O = Z[ 2(1 + √ −l)] on the unimodular lattice D l+1 using a Paley matrix. We determine the isomorphism class of D l+1 as an O-module. In particular we show that unless l = 7, D l+1 is not a free O-module. We note a consequence for the Leech lattice.

We construct an action of a free resolution of the Frobenius properad on the differential forms of a closed oriented manifold. As a consequence, the forms of a manifold with values in a semi-simple Lie algebra have an additional structure given by an action of a free resolution of the properad describing Lie di-algebras with module compatibility.

12 Cheng, K. and Newcombe, N.S. (2005) Is there a geometric module for spatial orientation? Squaring theory and evidence. Psychon. Bull. Rev. 12, 1–23 13 Hermer-Vazquez,L. etal. (1999)Sources offlexibility inhumancognition: Dual task studies of space and language. Cognit. Psychol. 39, 3–36 14 Newcombe, N.S. (2005) Evidence for and against a geometric module: The roles of language and action. In...

For a linear ODE with indeterminate coefficients, we explicitly exhibit a fundamental system of solutions in terms of the coefficients. We show that the generalized Wronskians of the fundamental system are given by an action of the Schur functions on the usual Wronskian, and thence enjoy Pieri’s and Giambelli’s formulae. As an outcome, we obtain a natural isomorphism between the free module gen...

The Hardy space H(D) can be viewed as a module over the polynomial ring C[z, w] with module action defined by multiplication of functions. The core operator is a bounded self-adjoint integral operator defined on submodules of H(D), and it gives rise to some interesting numerical invariants for the submodules. These invariants are difficult to compute or estimate in general. This paper computes ...

In this paper, we present a persuasive recommendation module to be included into the iGenda framework. iGenda is a cognitive assistant that helps care-receivers and caregivers in the management of their agendas. The proposed new module will allow the system to select and recommend to the users the action that potentially best suits to his/her interests. The multi-agent approach followed by the ...

Pharmaceutical promotion is an integral part of modern medical practice. Surveys show that medical students have a positive attitude towards promotion. Pharmaceutical promotion is not adequately taught in medical schools. A module based on the manual produced by Health Action International was conducted for second year medical students at KIST Medical College, Lalitpur, Nepal. Student feedback ...

‎we say that a module $m$ is a emph{cms-module} if‎, ‎for every cofinite submodule $n$ of $m$‎, ‎there exist submodules $k$ and $k^{'}$ of $m$ such that $k$ is a supplement of $n$‎, ‎and $k$‎, ‎$k^{'}$ are mutual supplements in $m$‎. ‎in this article‎, ‎the various properties of cms-modules are given as a generalization of $oplus$-cofinitely supplemented modules‎. ‎in particular‎, ‎we prove tha...