ideal theory


Also found in: Wikipedia.

ideal theory

[ī′dēl ′thē·ə·rē]
(mathematics)
The branch of algebra studying the properties of ideals.
Mentioned in ?
References in periodicals archive ?
A special feature is that he develops the entire theory first in the simple setting of quadratic fields, which includes full proofs of the three standard "core" theorems: the fundamental theorem of ideal theory, the finiteness of the class group, and the unit theorem.
Salama, Florentin Smarandache, Neutrosophic Ideal Theory Neutrosophic Local Function and Generated Neutrosophic Topology, In Neutrosophic Theory and Its Applications.
According to the notification, Mohammad Touqeer s/o Mohammad Farid got degree in the subject of Mathematics after approval of his thesis entitled Applications of Hyperstructures and Soft Sets in Ideal Theory of BCK/BCI-Algebras.
According to the notification, Muhammad Touqeer s/o Muhammad Farid got degree in the subject of Mathematics after approval of his thesis entitled "Applications of Hyperstructures and Soft Sets in Ideal Theory of BCK/BCI-Algebras".
Jun, Ideal theory in semigroups based on Intersectional Soft Sets, The Scientific World journal, 2014 (2014).
Acknowledging this weakness of the very concept of a defensive state, I intend to explore whether an ideal theory of anarchy or an ideal theory of a defensive state may serve us better in defending our liberties against intrusions by the collective bodies under which we of necessity must live.
The neutrosophic ideal theory is extend to soft neutrosophic biideal and soft neutrosophic N-ideal.
Ypi wants to illustrate how dialectics works in her case by engaging with one, perhaps fundamental, debate in global justice discussions nowadays: the debate among global justice theorists that tend to argue for an ideal theory and those who think we should start and focus on non-ideal theory.
Tomasi accepts from Rawls's A Theory of Justice (1971) the "veil of ignorance," the priority of rights, the "difference principle," ideal theory, and even "justice as fairness.
In chapter 7, Tomasi addresses the danger of "philosophilia," or the love of philosophy (with or without wisdom), so ardent that philosophers come to believe that ideal theory is the whole of political theory.
Keywords: justice, ideal theory, reflective equilibrium, ethics, partial obedience