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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
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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...
Fixed point subalgebras of Weil algebras: from geometric to algebraic questions
Fixed point subalgebras Weil algebras
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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
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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...
From random sets to continuous tensor products: answers to three questions of W. Arveson
continuous tensor products W. Arveson
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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...