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Jacobson Radical Isomorphism Theorems for Mixed Modules Part One: Determining the Torsion
Communications in Algebra, 2009Let R be a complete discrete valuation domain. A class of R-modules satisfies an isomorphism theorem if modules in that class are determined by their endomorphism rings. Do there exist classes of mixed R-modules for which the Jacobson radical of the endomorphism ring determines the structure of the modules?
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Journal of Materials Chemistry, 1999
Five experimental two-component phase diagrams between orientationally disordered crystals (ODICs) have been established from the low-temperature phase to the liquid state using thermal analysis and X-ray powder diffraction techniques. The high-temperature orientationally disordered phases for the pure components, which belong to the series (CH 3 )
Josep Salud +3 more
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Five experimental two-component phase diagrams between orientationally disordered crystals (ODICs) have been established from the low-temperature phase to the liquid state using thermal analysis and X-ray powder diffraction techniques. The high-temperature orientationally disordered phases for the pure components, which belong to the series (CH 3 )
Josep Salud +3 more
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Part II: An Economic Conception of Physics Terminologies Acquired through Isomorphic Transfer
International Journal of Social Economics, 19911.1. Logical Necessity of the Three Dimensions as a Unit of Thought The mathematician does not look kindly on the simple question of why natural space should consist of precisely three dimensions. Instead of giving an answer he assumes a silent smile and shows us a version of space with an infinity of dimensions, as if space were some kind of toy for ...
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The Mathematics Teacher, 1975
It is possible to form a set in an infinite additive group by beginning with any nonzero real a and adding it to itself over and over again, then including zero and the opposites of all numbers in the set. We call such a set the set of integral multiples of a. If a = 3, then here is such a set.
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It is possible to form a set in an infinite additive group by beginning with any nonzero real a and adding it to itself over and over again, then including zero and the opposites of all numbers in the set. We call such a set the set of integral multiples of a. If a = 3, then here is such a set.
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Inorganica Chimica Acta, 1978
Abstract The structures of UCl4·2hmpa and UBr4·2hmpa have been determined by Fourier methods from single-crystal X-ray diffraction data Full-matrix least-squares refinement yielded final conventional R factors of 0.062 and 0.059 respectively. The complexes are isomorphout and crystallise in the space group P21/n with a = 14.141(5), b = 10.530(5), c =
J.G.H. du Preez +4 more
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Abstract The structures of UCl4·2hmpa and UBr4·2hmpa have been determined by Fourier methods from single-crystal X-ray diffraction data Full-matrix least-squares refinement yielded final conventional R factors of 0.062 and 0.059 respectively. The complexes are isomorphout and crystallise in the space group P21/n with a = 14.141(5), b = 10.530(5), c =
J.G.H. du Preez +4 more
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Fuzzy Sets and Systems, 2014
Abstract We study the properties of permutation invariance and isomorphism invariance of fuzzy quantifiers of type 〈 1 , 1 〉 defined using fuzzy measures and integrals. These properties hold if fuzzy quantifiers are invariant with respect to permutations (bijective mappings) on the universe of discourse (permutation invariance) and with ...
Antonín Dvorák, Michal Holcapek
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Abstract We study the properties of permutation invariance and isomorphism invariance of fuzzy quantifiers of type 〈 1 , 1 〉 defined using fuzzy measures and integrals. These properties hold if fuzzy quantifiers are invariant with respect to permutations (bijective mappings) on the universe of discourse (permutation invariance) and with ...
Antonín Dvorák, Michal Holcapek
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Perspectives of New Music, 1988
TN "TWELVE-TONE INVARIANTS as Compositional Determinants" Milton Babbitt described the twelve-tone system in terms of operations upon pairings of the twelve pitch classes with twelve order numbers.1 In doing so he provided a basis for studying the twelve-tone system that has far-reaching implications.2 Viewing the twelve-tone system from the basis of ...
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TN "TWELVE-TONE INVARIANTS as Compositional Determinants" Milton Babbitt described the twelve-tone system in terms of operations upon pairings of the twelve pitch classes with twelve order numbers.1 In doing so he provided a basis for studying the twelve-tone system that has far-reaching implications.2 Viewing the twelve-tone system from the basis of ...
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isomorphic relationships between crystalline-liquid phases: part 4
2004Horst Sackmann, Heinrich Arnold
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