Results 41 to 50 of about 439,115 (199)
Reduced and irreducible simple algebraic extensions of commutative rings [PDF]
Mathematica Moravica, 2017 Let A be a commutative ring with identity and be an algebraic element over A. We give necessary and sufficient conditions under which the simple algebraic extension A[α] is without nilpotent or without idempotent elements.
Mihovski S.V.
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Extensions of hereditary algebras
Manuscripta Mathematica, 1984 Let k be an algebraically closed field, B the path algebra over k of an oriented Dynkin diagram of type \(E_ 6,E_ 7\), or \(E_ 8\), and M an indecomposable right B-module. The author determines the representation type (finite, tame or wild) of the matrix algebra \(\left( \begin{matrix} k\\ 0\end{matrix} \begin{matrix} M\\ B\end{matrix} \right)\) for ...
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Modular Composition of Language Features through Extensions of Semantic Language Models [PDF]
, 1999 Today, programming or specification languages are often extended in order to customize them for a particular application domain or to refine the language definition. The extension of a semantic model is often at the centre of such an extension.
Claus Pahl, Pahl, Claus
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Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods
Applied SciencesIt is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan +3 more
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General Extensions and Improvements of Algebraic Persistent Fault Analysis
CryptographyAlgebraic persistent fault analysis (APFA) combines algebraic analysis with persistent fault analysis, providing a novel approach for examining block cipher implementation security.
Hanbing Li +4 more
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Algebraic extension of normed algebras [PDF]
Proceedings of the American Mathematical Society, 1956 in B. The classical method of field extension (forming the polynomial ring A [x] and reducing modulo the principal ideal J of 1.1) solves this problem. In this paper, we investigate the role of this process in topological rings. We study the problem of obtaining a normed linear algebra extension B containing a solution of 1.1, where A is a given normed
Arens, Richard, Hoffman, Kenneth
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MathematicsThis paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev +2 more
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A CLASSIFICATION OF EXTENSIONS GENERATED BY A ROOT OF AN EISENSTEIN-DUMAS POLYNOMIAL [PDF]
Journal of Algebraic SystemsIt is known that for a discrete valuation v of a field K with value group Z, an valued extension field (K′, v′) of (K, v) is generated by a root of an Eisenstein polynomial with respect to v having coefficients in K if and only if the extension (K′, v′)/(
َAzadeh Nikseresht
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Algebraic entropy for algebraic maps [PDF]
, 2015 We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map.
Hone, A. N. W. +4 more
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Strict extensions in pointfree topology [PDF]
, 2013 Extensions of spaces have been constructed and used since the 19th century, for example, to form the complex sphere from the complex plane by adding a point at in nity.
Apfel, Gayle Renay
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