Let (R, m) and (S, n) be commutative Noetherian local rings, and let φ : R→ S be a flat local homomorphism such that mS = n and the induced map on residue fields R/m→ S/n is an isomorphism. Given a finitely generated R-module M , we show that M has an S-module structure compatible with the given R-module structure if and only if Ext R (S,M) = 0 for each i ≥ 1. We say that an S-module N is exten...

in this paper we study the module contractibility ofbanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. also weinvestigate module contractibility of banach algebras with theconcept of the module diagonal.

Let p be an odd prime, and let OK be the ring of integers in a finite extension K/Qp. Breuil has classified finite flat group schemes of type (p, . . . , p) over OK in terms of linear-algebraic objects that have come to be known as Breuil modules. This classification can be extended to the case of finite flat vector space schemes G over OK . When G has rank one, the generic fiber of G correspon...

This paper discusses work in progress in integrating persistence into the University of Washington IMAP (Internet Mail Access Protocol) server to take advantage of the benefits provided by persistence over the flat file storage model. The traditional flat file storage model involves complicated and error prone locking mechanisms (due mainly to legacy UNIX file locking protocols) and does not ea...

Abstract We introduce a notion of topologically flat locally convex module, which extends the Banach module and is well adapted to nonmetrizable setting (and especially DF-modules). Using this notion, we amenable algebras show that complete barrelled DF-algebra if only it Johnson amenable, extending thereby Helemskii–Sheinberg’s criterion for algebras. As an application, completely characterize...

As the sizes of general and special purpose processors increase rapidly, generating high quality manufacturing tests for them is becoming a serious problem in industry. This paper describes a novel method for hierarchical functional test generation for processors which targets one embedded module at a time and uses commercial ATPG tools to derive tests for faults within the module. Applying the...

A learning system composed of linear control modules, reinforcement learning modules and selection modules (a hybrid reinforcement learning system) is proposed for the fast learning of real-world control problems. The selection modules choose one appropriate control module dependent on the state. This hybrid learning system was applied to the control of a stilt-type biped robot. It learned the ...

Let f : X → Y be a morphism of smooth varieties. Then we already know that the (higher) pull-back of a quasicoherent sheaf is quasicoherent. Since a pull-back as a D-module and as an O-module are the same (with some shift,) it is still true for a D-module case. (One might doubt it since in each case the category on which Lif∗ is defined is different, but we can compose a forgetful functor D(Mod...

On a symplectic manifold M , the quantum product defines a complex, one parameter family of flat connections called the A-model or Dubrovin connections. Let ~ denote the parameter. Associated to them is the quantum D module D/I over the Heisenberg algebra of first order differential operators on a complex torus. An element of I gives a relation in the quantum cohomology of M by taking the limit...