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A note on completeness in the theory of strongly clean rings

Autor: Diesl, Alexander J., Dorsey, Thomas J.

Many authors have investigated the behavior of strong cleanness under certain ring extensions. In this note, we prove that if $R$ is a ring which is complete with respect to an ideal $I$ and if $x$ is an element of $R$ whose image in $R/I$ is strongl

Externí odkaz: http://arxiv.org/abs/0907.2281

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A Characterization of Certain Morphic Trivial Extensions

Autor: Diesl, Alexander J., Dorsey, Thomas J., McGovern, Warren Wm.

Given a ring $R$, we study the bimodules $M$ for which the trivial extension $R\propto M$ is morphic. We obtain a complete characterization in the case where $R$ is left perfect, and we prove that $R\propto Q/R$ is morphic when $R$ is a commutative r

Externí odkaz: http://arxiv.org/abs/0907.1141

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Intrinsically linked graphs and even linking number

Autor: Fleming, Thomas, Diesl, Alexander

Publikováno v: Algebr. Geom. Topol. 5 (2005) 1419-1432

We study intrinsically linked graphs where we require that every embedding of the graph contains not just a non-split link, but a link that satisfies some additional property. Examples of properties we address in this paper are: a two component link

Externí odkaz: http://arxiv.org/abs/math/0511133

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A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm

Autor: Assaf, S., Chen, L., Cheslack-Postava, T., Cooper, B., Diesl, A., Garrity, T., Lepinski, M., Schuyler, A.

A dual approach to defining the triangle sequence (a type of multidimensional continued fraction algorithm, initially developed in NT/9906016) for a pair of real numbers is presented, providing a new, clean geometric interpretation of the triangle se

Externí odkaz: http://arxiv.org/abs/math/0206105

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