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Displaying 21 – 40 of 151

Contribución al estudio de los anillos reticulados y f-anillos.

Joan Trías Pairó (1979)

Stochastica

This paper deals with ordered rings and f-rings. Some relations between classes of ideals are obtained. The idea of subunity allows us to study the possibility of embedding the ring in a unitary f-ring. The Boolean algebras of idempotents and lattice-isometries in an f-ring are studied. We give geometric characterizations of the l-isometries and obtain, in the projectable case, that the Stone space of the Boolean algebra of l-isometries is homeomorphic to the space of minimal prime ideals with the...

Convexity, valuations and Prüfer extensions in real algebra.

Knebusch, Manfred, Zhang, Digen (2005)

Documenta Mathematica

Correction to "On a functional equation arising from hyperbolic geometry", Volume 21 (1980), 113-116.

Walter Benz (1981)

Aequationes mathematicae

...-definierbare Funktionen auf Peanoalgebren.

Gerd Mitschke (1972)

Archiv für mathematische Logik und Grundlagenforschung

Dimension in algebraic frames

Jorge Martinez (2006)

Czechoslovak Mathematical Journal

In an algebraic frame $L$ the dimension, $dim (L)$ , is defined, as in classical ideal theory, to be the maximum of the lengths $n$ of chains of primes $p_{0} < p_{1} < \dots < p_{n}$ , if such a maximum exists, and $\infty$ otherwise. A notion of “dominance” is then defined among the compact elements of $L$ , which affords one a primefree way to compute dimension. Various subordinate dimensions are considered on a number of frame quotients of $L$ , including the frames $d L$ and $z L$ of $d$ -elements and $z$ -elements, respectively. The more concrete illustrations...

Discrete ordered rings

G. Heuer (1974)

Fundamenta Mathematicae

Domination properties in ordered Banach algebras

H. du T. Mouton, S. Mouton (2002)

Studia Mathematica

We recall from [9] the definition and properties of an algebra cone C of a real or complex Banach algebra A. It can be shown that C induces on A an ordering which is compatible with the algebraic structure of A. The Banach algebra A is then called an ordered Banach algebra. An important property that the algebra cone C may have is that of normality. If C is normal, then the order structure and the topology of A are reconciled in a certain way. Ordered Banach algebras have interesting spectral properties....

Dual spaces of totally ordered rings

Robert H. Redfield (1988)

Czechoslovak Mathematical Journal

Einschließung inverser Elemente durch Fixpunktverfahren.

J.W. Schmidt (1978/1979)

Numerische Mathematik

Embeddings into Power Series Rings.

R.H. Redfield (1986)

Manuscripta mathematica

Every uniformly Archimedean atomic MV-effect algebra is sharply dominating

Vladimír Olejček (2010)

Kybernetika

Following the study of sharp domination in effect algebras, in particular, in atomic Archimedean MV-effect algebras it is proved that if an atomic MV-effect algebra is uniformly Archimedean then it is sharply dominating.

Faithfully quadratic rings - a summary of results

M. Dickmann, F. Miraglia (2016)

Banach Center Publications

This is a summary of some of the main results in the monograph Faithfully Ordered Rings (Mem. Amer. Math. Soc. 2015), presented by the first author at the ALANT conference, Będlewo, Poland, June 8-13, 2014. The notions involved and the results are stated in detail, the techniques employed briefly outlined, but proofs are omitted. We focus on those aspects of the cited monograph concerning (diagonal) quadratic forms over preordered rings.

Fastgeordnete affine lokale Ternärringe und pregeordnete Biternärringe

František Machala (1989)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Fastgeordnete und geordnete lokale Ringe und ihre geometrische Anwendung

František Machala (1981)

Časopis pro pěstování matematiky

Finitely valued $f$ -modules, an addendum

Stuart A. Steinberg (2001)

Czechoslovak Mathematical Journal

In an $ℓ$ -group $M$ with an appropriate operator set $Ω$ it is shown that the $Ω$ -value set $Γ_{Ω} (M)$ can be embedded in the value set $Γ (M)$ . This embedding is an isomorphism if and only if each convex $ℓ$ -subgroup is an $Ω$ -subgroup. If $Γ (M)$ has a.c.c. and $M$ is either representable or finitely valued, then the two value sets are identical. More generally, these results hold for two related operator sets $Ω_{1}$ and $Ω_{2}$ and the corresponding $Ω$ -value sets $Γ_{Ω_{1}} (M)$ and $Γ_{Ω_{2}} (M)$ . If $R$ is a unital $ℓ$ -ring, then each unital $ℓ$ -module over $R$ is an $f$ -module...

Currently displaying 21 – 40 of 151

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Displaying 21 – 40 of 151

Contribución al estudio de los anillos reticulados y f-anillos.

Convexity, valuations and Prüfer extensions in real algebra.

Correction to "On a functional equation arising from hyperbolic geometry", Volume 21 (1980), 113-116.

...-definierbare Funktionen auf Peanoalgebren.

Dimension in algebraic frames

Discrete ordered rings

Domination properties in ordered Banach algebras

Dual spaces of totally ordered rings

Einschließung inverser Elemente durch Fixpunktverfahren.

Embeddings into Power Series Rings.

Every uniformly Archimedean atomic MV-effect algebra is sharply dominating

Faithfully quadratic rings - a summary of results

Fastgeordnete affine lokale Ternärringe und pregeordnete Biternärringe

Fastgeordnete und geordnete lokale Ringe und ihre geometrische Anwendung

Finitely valued $f$ -modules, an addendum

Fortsetzungen extremaler Funktionale.

Functorial approximation to the lateral completion in archimedean lattice-ordered groups with weak unit

Functorial rings of quotients 2: the ring of hyper-fractions.

Ideals, $ℓ$ -rings and ${MV}^{☆}$ -algebras

Integral Domain Type Representations in Sheaves and Other Topoi.

Currently displaying 21 – 40 of 151