Results 11 to 20 of about 230,507 (313)
In this paper, we introduce the notion of k-ideal, m−k ideal, prime ideal, maximal ideal, filter, irreducible ideal, strongly irreducible ideal in ordered Γ-semirings, study the properties of ideals in ordered Γ-semirings and the relations between them ...
Rao Marapureddy Murali Krishna
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The fabulous destiny of Richard Dedekind
By using the preliminary results given in a previous divulgative note, we present here a concise and self--contained introduction to the construction of the real field as the unique, up to increasing isomorphism, Dedekind complete totally ordered field ...
Giuseppe Devillanova +1 more
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Ordered Rings and Fields [PDF]
Summary We introduce ordered rings and fields following Artin-Schreier’s approach using positive cones. We show that such orderings coincide with total order relations and give examples of ordered (and non ordered) rings and fields. In particular we show that polynomial rings can be ordered in (at least) two different ways [8, 5, 4, 9].
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Monopole Josephson effects in a Dirac spin liquid
Dirac spin liquids (DSLs) are gapless featureless states, yet interesting by virtue of the effective field theory describing them—(2 + 1)-dimensional quantum electrodynamics (QED_{3}).
Gautam Nambiar +2 more
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Completeness of Ordered Fields and a Trio of Classical Series Tests
This article explores the fate of the infinite series tests of Dirichlet, Dedekind, and Abel in the context of an arbitrary ordered field. It is shown that each of these three tests characterizes the Dedekind completeness of an Archimedean ordered field;
Robert Kantrowitz, Michael M. Neumann
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Holographic conformal order in supergravity
We explore the embedding of the phenomenological holographic models describing thermal relativistic ordered conformal phases in R2,1 in SUGRA/String theory.
Alex Buchel
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On the gauge chosen by the bosonic open string
String theory gives S matrix elements from which is not possible to read any gauge information. Using factorization we go off shell in the simplest and most naive way and we read which are the vertices suggested by string.
Igor Pesando
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We use multi-frequency linear polarization observations from the University of Michigan blazar program (UMRAO), in combination with radiative transfer simulations of emission from a relativistic jet, to investigate the time-dependent flow conditions ...
Margo Aller +3 more
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The science and practice of military hygiene, not so many years ago, in the field at least and on a large scale, was in a somewhat unsatisfactory state. It is true that we had ideas on the subject—many of them good ones—but some very important things were not known even so recently as the Spanish-American War. For instance, our ideas were comparatively
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*-valuations and ordered *-fields [PDF]
We generalize elementary valuation theory to *-fields (division rings with involution), apply the generalized theory to the task of ordering *-fields, and give some applications to Hermitian forms.
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