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1.
2.
In this paper we continue to study the spectral norms and their completions ([4]) in the case of the algebraic closure $ \overline {\mathbb Q} $ of ? in ?. Let $ \widetilde{\overline{\mathbb{Q}}} $ be the completion of $ \overline {\mathbb Q} $ relative to the spectral norm. We prove that $ \widetilde{\overline{\mathbb{Q}}} $ can be identified with the R‐subalgebra of all symmetric functions of C(G), where C(G) denotes the ?‐Banach algebra of all continuous functions defined on the absolute Galois group G = Gal$ {\overline {\mathbb Q}} / {\mathbb Q} $. We prove that any compact, closed to conjugation subset of ? is the pseudo‐orbit of a suitable element of $ \widetilde{\overline{\mathbb{Q}}} $. We also prove that the topological closure of any algebraic number field in $ \widetilde{\overline{\mathbb{Q}}} $ is of the form $\widetilde{\mathbb{Q}[x]}$ with x in $ \widetilde{\overline{\mathbb{Q}}} $. 相似文献
3.
We introduce the notion of n-nuanced MV-algebra by performing a Łukasiewicz–Moisil nuancing construction on top of MV-algebras. These structures extend both MV-algebras and Łukasiewicz–Moisil algebras, thus unifying two important types of structures in the algebra of logic. On a logical level, n-nuanced MV-algebras amalgamate two distinct approaches to many valuedness: that of the infinitely valued Łukasiewicz logic, more related in spirit to the fuzzy approach, and that of Moisil n-nuanced logic, which is more concerned with nuances of truth rather than truth degree. We study n-nuanced MV-algebras mainly from the algebraic and categorical points of view, and also consider some basic model-theoretic aspects. The relationship with a suitable notion of n-nuanced ordered group via an extension of the Γ construction is also analyzed. 相似文献
4.
Summary A separated filtered ring has a maximally complete immediate extension. This is an analogue of Krull Theorem from valuation
ring theory in the frame of filtered rings.
Riassunto Un anello separato filtrato ha una immediata estensione massimale completa. Questo risultato è un analogo del teorema di Krull della teoria degli anelli di valutazione nell’ambito degli anelli filtrati.相似文献
5.
In two dimensions, we prove the existence of a domain
minimizing the buckling load of a clamped plate among all domains
of given measure. In order to prove that the optimal set is the
disk, we discuss possible ways of applying an idea of Willms and
Weinberger if the regularity of the optimal set is not a priori
assumed. 相似文献
6.
7.
8.
Fenesan I Popescu R Supuran CT Nicoara S Culea M Palibroda N Moldovan Z Cozar O 《Rapid communications in mass spectrometry : RCM》2001,15(9):721-729
This work discusses the synthesis and the fragmentation patterns for 2-(p-acetylaminosulfonamido)-2-thiono-(5,5-dimethyl-1,3,2-dioxaphosphorinane)(1) and for the p-acetylaminosulfonylamides of O,O-diethylthiophosphoric acid (2), O,O-diphenylthiophosphoric acid (3), dimethylaminocyclohexylthiophosphoric acid (4), and diethylaminophenylthiophosphoric acid (5). A thionamidic-thiolimidic structure was attributed to compounds 1-5, consistent with their IR and NMR spectra. EI mass spectra at 70 eV, high resolution (HR) mass measurements and metastable ion spectra were used to elucidate the fragmentation processes and to determine the kinetic energy release values associated with the metastable ion dissociations. HR accurate mass measurements were used to confirm the compositions of the more abundant ions. 相似文献
9.
Ion Gănescu Alex Popescu Magda Preoteasa 《Monatshefte für Chemie / Chemical Monthly》1970,101(6):1623-1629
Zusammenfassung Es wurden 34 neue Komplexsalze durch doppelte Umsetzung aus wäßr.-alkohol. Lösungen der folgenden Reineckeat-Analoga: [Cr(NCS)4(m-xylidin)2]–, [Cr(NCS)4(p-xyl)2]– und Hexammin-, Monoacido-pentammin- und Diacido-tetramminkobalt(III)-komplexsalze erhalten. Es wurden in einigen Fällen Unterschiede in physiko-chemischen Eigenschaften, wie Farbtönung, Kristallform, Löslichkeit und papierchromatographischeR
f-Werte, bei den stellungsisomeren Salzen vom Typus: Kation · [Cr(NCS)4(xyl)2] und auch bei den Koordinationsisomerpaaren: [Co(DH)2(m-xyl)2] [Cr(NCS)4(p-xyl)2] und [Co(DH)2(p-xyl)2] [Cr(NCS)4(m-xyl)2] usw. beobachtet.
Cobalt(III)ammine derivatives of some reineckate analogues with xylidines
34 new complex salts were prepared by double conversion of the reineckate analogues [Cr(NCS)4(m-xylidine)2]–, [Cr(NCS)4(p-xyl)2]–, with the hexammine-, monoacido-pentammine- and diacidotetrammine-complexes of Co(III). In some of the position and coordination isomeres differences of the standard physico-chemical properties, i.e. color, crystal form, solubility and paper chromatographyR f-values were observed.相似文献
10.
The framework of the paper is that of the full Fock space
and the Banach algebraF
which can be viewed as non-commutative analogues of the Hardy spacesH
2 andH
respectively.An inner-outer factorization for any element in
as well as characterization of invertible elements inF
are obtained. We also give a complete characterization of invariant subspaces for the left creation operatorsS
1
,..., S
n
of
. This enables us to show that every weakly (strongly) closed unital subalgebra of {(S
1
,..., S
n
) F
} is reflexive, extending in this way the classical result of Sarason [S]. Some properties of inner and outer functions and many examples are also considered.The first author was supported in part by NSF DMS 93-21369 1991Mathematics Subject Classification. Primary 47D25, Secondary 32A35, 47A67. 相似文献