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Two questions of L. Va${\rm \check{\textbf{s}}}$ on *-clean rings
Clean ring Clean ring Regular ring Strongly clean ring Unit regular ring
2011/8/26
Abstract: A ring $R$ with an involution * is called (strongly) *-clean if every element of $R$ is the sum of a unit and a projection (that commute). All *-clean rings are clean. Va${\rm \check{s}}$ [L...
Topologies on groups determined by sequences: Answers to several questions of I.Protasov and E.Zelenyuk
Topologies Protasov and E.Zelenyuk
2010/11/23
We answer several questions of I.Protasov and E.Zelenyuk concerning topologies on groups determined by T-sequences. A special attention is paid to studying the operation of supremum of two group topol...
Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity
Piecewise Linear Hamiltonian Flows Zero-Sum Games
2010/11/15
In this paper we consider a class of piecewise affine Hamiltonian vector fields whose orbits are piecewise straight lines. We give a first classification result of such systems and show that the orbit...
Fixed point subalgebras of Weil algebras: from geometric to algebraic questions
Fixed point subalgebras Weil algebras
2010/11/17
The paper is a survey of some results about Weil algebras applicable in differential geometry, especially in some classification questions on bundles of generalized velocities and contact elements. M...
Seminar Notes on Open Questions in Iwasawa Theory - SNOQIT I: The $\Lambda[ G ]$-modules of Iwasawa theory II: Units and Kummer theory in Iwasawa extensions
11R23 Iwasawa Theory 11R27 Units
2010/12/9
For = Zp[[T ]], the ring of formal power series in one variable, the structure of the finitely generated - torsion modules is a main concern of Iwasawa theory. In this first part of Snoqit1 we inv...
On semi-Classical Questions Related to Signal Analysis
Semi-classical analysis Schrö dinger operator signal analysis arterial blood pressure
2010/12/14
This study explores the reconstruction of a signal using spectral quantities associated with some self-adjoint realization of an h-dependent Schrödinger operator −h2 d2 dx2 − y(x), h ...
From random sets to continuous tensor products: answers to three questions of W. Arveson
continuous tensor products W. Arveson
2010/10/29
The set of zeros of a Brownian motion gives rise to a product system in the sense of William Arveson (that is, a continuous tensor product system of Hilbert spaces). Replacing the Brownian motion with...