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Abstract  

LetG andH be finite abelian groups and letF be an arbitrary field. One fundamental problem is that of determining necessary and sufficient conditions for the isomorphism of the group algebrasFG andFH. No solution has appeared in the literature. Nevertheless by combining the results of Berman, Perlis and Walker, Cohen, and Deskins and providing connecting arguments a complete solution can be obtained. It is the purpose of this note to present such a solution.

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References [1] Baird , B. B. 1977 Isomorphisms between inverse semigroups of injective transformations J. Australian Math. Soc

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Izomorfizmus a társadalomtudományi publikációs gyakorlatban

Isomorphism in Social Science Publications

Educatio
Authors:
Henriett Primecz
and
Máté Baksa

Evaluation Process and Selection Criteria. https://clarivate.com/webofsciencegroup/journal-evaluation-process-and-selection-criteria/ 4 DiMaggio, P. J. & Powell, W. W. (1983) The iron cage revisited: Institutional isomorphism and

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Abstract  

V. Gregori and S. Romaguera [17] obtained an example of a fuzzy metric space (in the sense of A. George and P. Veeramani) that is not completable, i.e. it is not isometric to a dense subspace of any complete fuzzy metric space; therefore, and contrary to the classical case, there exist quiet fuzzy quasi-metric spaces that are not bicompletable neither D-completable, via (quasi-)isometries. In this paper we show that, nevertheless, it is possible to obtain solutions to the problem of completion of fuzzy quasi-metric spaces by using quasi-uniform isomorphisms instead of (quasi-)isometries. Such solutions are deduced from a general method, given here, to obtain extension properties of fuzzy quasi-metric spaces from the corresponding ones of the classical theory of quasi-uniform and quasi-metric spaces.

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Abstract  

Some new and bis-hydrazine lanthanide glyoxylates Ln[OOC-CHO]3(N2H4)2 where Ln=La, Ce, Pr, Nd, Sm, Eu, Gd, Tb or Dy have been prepared and the compositions of the complexes have been determined by chemical analysis and elemental analysis. The magnetic moment and electronic spectra suggest except Ln3+ which is diamagnetic and all the other complexes are paramagnetic. Infrared spectral data indicate the bidentate coordination of carboxylates group is coordinate to lanthanide ion in a monodentate fashion. However, as a whole, glyoxylate ion acts as a bidentate ligand. The curves of all the complexes show multi-step degradation and the final products are found to be the respective metal oxides. The final residues were identified by their metal analysis, infrared spectra and the X-ray powder diffraction patterns. X-ray powder patterns of the complexes are almost super-imposable as expected which is in favour of isomorphism among the series.

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A comparison between (strongly) distributive sentences in two typologically different languages, i.e. Romanian and Chinese is proposed. It is argued that the same factors, namely the inherent properties of the quantifiers more than the c-command relations obtaining between them constrain the possible interpretations of distributive sentences. The importance of the two factors is relatively different: in Romanian, the semantic factor cannot be superseded by the configurational one, whereas in Chinese c-command is at least equally important, thus partially confirming the isomorphism thesis.

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The principal application of a general theorem proved here shows that for any choice 1=m=n=p of integers there exist metric spacesX andY such that the initialk-segments of their clones of continuous maps coincide exactly whenk=m, are isomorphic exactly whenk=n, and are elementarily equivalent exactly whenk=p.

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