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On extensions of supercompactness

Mathematical Logic Quarterly, 2015
We show that, in terms of both implication and consistency strength, an extendible with a larger strong cardinal is stronger than an enhanced supercompact, which is itself stronger than a hypercompact, which is itself weaker than an extendible. All of these are easily seen to be stronger than a supercompact. We also study Cn‐supercompactness.
Robert S. Lubarsky   +1 more
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Extensible Debugger Framework for Extensible Languages

2015
Language extension enables integration of new language constructs without invasive changes to a base language (e. g., C). Such extensions help to build more reliable software by using proper domain-specific abstractions. Language workbenches significantly reduce the effort for building such extensible languages by synthesizing a fully-fledged IDE from ...
Domenik Pavletic   +4 more
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Embedding of a Cyclic Extension into a Cyclic Extension

Journal of Mathematical Sciences, 2002
Let \(k\) be a field, \(K/k\) be cyclic of order \(m\), and let \(n\) be a multiple of \(m\). The extension \(K/k\) is called \(n\)-embeddable if there exists a cyclic extension \(L/k\) such that \([L:k]=n\) and \(K\subseteq L\). The author gives necessary and sufficient conditions for \(K/k\) to be \(2^s\)-embeddable in the case \([K:k]=2\), \(\text ...
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Unramified extensions and birational integral extensions

Kobe Journal of Mathematics, 1984
Let R be a Noetherian domain containing a field k of characteristic zero and let \(\bar R\) be the integral closure of R in its quotient field K. An intermediate ring A between R and \(\bar R\) will be called a birational- integral extension of R. Let A be any birational-integral extension of R which is finitely generated as an R-module. We will denote
Kanemitsu, Mitsuo, Yoshida, Ken-ich
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Bicyclic Extensions

Acta Mathematica Hungarica, 1997
The author considers a more general structure theory of simple semigroups, the basic idea being to give a construction where the term ``group'' is replaced by the term ``monoid'' [see: \textit{D. Rees}, Q. J. Math., Oxf. Ser. 19, 101-108 (1948; Zbl 0030.00802)]. The resulting construction is called a bicyclic extension.
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An Extension of Determinants

The Mathematical Gazette, 1932
If the elements of a determinant of order n are given by a rs (r, s = 1, 2, ... n ),
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Extension and intension

Synthese, 1960
One of the most important operations in the logic of science as conceived of by R. Carnap is the explication of a familiar but vague concept. It consists in replacing that concept by a new and exact concept; the earlier concept is called the explicandum, the new concept by which it is replaced is called the explicatum.
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Extensions of Pseudometrics

Canadian Journal of Mathematics, 1966
If γ is an infinite cardinal number, a subset S of a topological space X is said to be Pγ-embedded in X if every γ-separable continuous pseudometric on S can be extended to a γ-separable continuous pseudometric on X. (A pseudometric d on X is γ-separable if there exists a subset G of X such that |G| ⩽ 7 and such that G is dense in X relative to the ...
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Humanising agricultural extension: A review

World Development, 2021
Brian Cook, Paula Satizábal
exaly  

Applications and Extensions

1982
In a well-balanced monograph on ATP the material treated so far in the previous chapters would perhaps amount to 1/10 of the whole volume. In other words we would now have to proceed with another 36 chapters which is obviously impossible. In other words this book is not at all a well-balanced treatise, rather it is relatively detailed in topics ...
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