The connected components on the projective line over a ring.

Blunck, Andrea; Havlicek, Hans

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Displaying similar documents to “The connected components on the projective line over a ring.”

Ring elements as sums of units

Charles Lanski, Attila Maróti (2009)

Open Mathematics

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In an Artinian ring R every element of R can be expressed as the sum of two units if and only if R/J(R) does not contain a summand isomorphic to the field with two elements. This result is used to describe those finite rings R for which Γ(R) contains a Hamiltonian cycle where Γ(R) is the (simple) graph defined on the elements of R with an edge between vertices r and s if and only if r - s is invertible. It is also shown that for an Artinian ring R the number of connected components of...

On the structure of the $G L_{2}$ of a ring

Paul M. Cohn (1966)

Publications Mathématiques de l'IHÉS

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Pappus' theorem for ring-geometries.

Pfeiffer, Thorsten (1998)

Beiträge zur Algebra und Geometrie

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Trajectories, first return limiting notions and rings of $H$ -connected and iteratively $H$ -connected functions

Ewa Korczak-Kubiak, Ryszard J. Pawlak (2013)

Czechoslovak Mathematical Journal

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In the paper the existing results concerning a special kind of trajectories and the theory of first return continuous functions connected with them are used to examine some algebraic properties of classes of functions. To that end we define a new class of functions (denoted $C o n n^{*}$ ) contained between the families (widely described in literature) of Darboux Baire 1 functions ( ${DB}_{1}$ ) and connectivity functions ( $C o n n$ ). The solutions to our problems are based, among other, on the suitable construction...

Morphisms of projective spaces over rings.

Faure, Claude-Alain (2004)

Advances in Geometry

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Isobaric QF-rings

Zaks, Abraham (1973)

Portugaliae mathematica

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A note on block triangular presentations of rings and finitistic dimension

W. D. Burgess, K. R. Fuller, A. Tonolo (2001)

Rendiconti del Seminario Matematico della Università di Padova

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The Brauer ring of a commutative ring

Chen, Chengxiang (1993)

Portugaliae mathematica

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Transparent rings and their extensions.

Bhat, Vijay Kumar (2009)

The New York Journal of Mathematics [electronic only]

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Weak incidence algebra and maximal ring of quotients.

Singh, Surjeet, Al-Thukair, Fawzi (2004)

International Journal of Mathematics and Mathematical Sciences

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A representation theorem for Chain rings

Yousef Alkhamees, Hanan Alolayan, Surjeet Singh (2003)

Colloquium Mathematicae

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A ring A is called a chain ring if it is a local, both sided artinian, principal ideal ring. Let R be a commutative chain ring. Let A be a faithful R-algebra which is a chain ring such that Ā = A/J(A) is a separable field extension of R̅ = R/J(R). It follows from a recent result by Alkhamees and Singh that A has a commutative R-subalgebra R₀ which is a chain ring such that A = R₀ + J(A) and R₀ ∩ J(A) = J(R₀) = J(R)R₀. The structure of A in terms of a skew polynomial ring over R₀ is determined. ...