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IDEALISM WITHOUT IDEALISM

Angelaki, 2014
AbstractThis article examines a contemporary proposal of how to conceive of materialism, more specifically of a materialist dialectics (another name for an immanent materialism). This proposal was formulated by Alain Badiou and it is of huge interest for the contemporary discussion as it inscribes the very historical coordinates in which it was ...
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On the Shadows of Ideals

Mathematical Logic Quarterly, 1987
Let P be a family of sets ordered by \(\leq\) such that \(\) is an upper semi-lattice. \(C\subseteq \cup P\) is said to be the shadow of an ideal if there is an ideal \(I\subseteq P\) such that \(\cup I=C\). The author's intuition is that the elements of P are ``small'' subalgebras while shadows of ideals are ``large'' subalgebras.
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Valuation ideals and primary w-ideals

Frontiers of Mathematics in China, 2016
Let \(D\) be an integral domain. A nonzero ideal \(A\) of \(D\) is called a valuation ideal if there exists a valuation overring \(V\) of \(D\) such that \(AV\cap D=A\) [\textit{O. Zariski} and \textit{P. Samuel}, Commutative algebra. Vol. II. Princeton, N.J.-Toronto-London-New York: D (1960; Zbl 0121.27801)].
Chang, Gyu Whan, Kim, Hwankoo
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On the local cohomology of powers of ideals in idealizations

Periodica Mathematica Hungarica, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analytic Ideals

Bulletin of Symbolic Logic, 1996
§1. Introduction. Ideals and filters of subsets of natural numbers have been studied by set theorists and topologists for a long time. There is a vast literature concerning various kinds of ultrafilters (or, dually, maximal ideals). There is also a substantial interest in nicely definable (Borel, analytic) ideals—these by old results of Sierpiński are ...
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Ideal Transforms with Respect to a Pair of Ideals

Acta Mathematica Vietnamica, 2017
Let \(R\) be a commutative Noetherian ring with identity, \(I,J\) two ideals of \(R\) and \(M\) an \(R\)-module. The notion of the generalized local cohomology modules \(\text{H}^{i}_{I,J}(M)\) was introduced by \textit{R. Takahashi} et al. [J. Pure Appl. Algebra 213, No. 4, 582--600 (2009; Zbl 1160.13013)].
Nguyen Minh Tri, Tran Tuan Nam
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Ideals and fuzzy ideals on residuated lattices

International Journal of Machine Learning and Cybernetics, 2014
This paper mainly focus on building the ideals theory of non regular residuated lattices. Firstly, the notions of ideals and fuzzy ideals of a residuated lattice are introduced, their properties and equivalent characterizations are obtained; at the meantime, the relation between filter and ideal is discussed.
Yi Liu 0005   +3 more
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Ideals and Idealization

In A Theory of Justice, John Rawls argues that any participant taking on the role as impartial spectator in his original position thought experiment would select “justice as fairness” as the most reasonable theory of justice to reorganize a basic structure’s system of institutions and public rules.
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Primary Ideals and Prime Power Ideals

Canadian Journal of Mathematics, 1966
This paper is concerned with the ideal theory of a commutative ringR.We sayRhas Property (α) if each primary ideal inRis a power of its (prime) radical;Ris said to have Property (δ) provided every ideal inRis an intersection of a finite number of prime power ideals. In (2, Theorem 8, p.
Butts, H. S., Gilmer, R. W. jun.
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Ideals and Ideal Theory: The Problem of Methodological Conservatism

1998
A well-known problem of reflective equilibrium methods is how to avoid or at least correct for a methodological conservatism or, more positively formulated, how to guarantee adequate critical input. If in the process we use only our own convictions, of whatever kind, how can we hope to do more than systematising our prejudices?
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