On generalized Beurling’s theorem and symmetry of -group algebras
Zenobia Anusiak (1971)
Colloquium Mathematicae
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Zenobia Anusiak (1971)
Colloquium Mathematicae
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Z. Kominek (1974)
Annales Polonici Mathematici
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Jan Waszkiewicz (1973)
Colloquium Mathematicae
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C. T. Ng (1973)
Annales Polonici Mathematici
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H. Światak (1967)
Annales Polonici Mathematici
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M. Malenica (1982)
Matematički Vesnik
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Yasutaka Sibuya (1984)
Recherche Coopérative sur Programme n°25
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Philip Olin (1975)
Colloquium Mathematicae
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Aldo Victorio Figallo, Gustavo Pelaitay (2015)
Mathematica Bohemica
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In 2000, Figallo and Sanza introduced -valued Łukasiewicz-Moisil algebras which are both particular cases of matrix Łukasiewicz algebras and a generalization of -valued Łukasiewicz-Moisil algebras. Here we initiate an investigation into the class of tense -valued Łukasiewicz-Moisil algebras (or tense LM-algebras), namely -valued Łukasiewicz-Moisil algebras endowed with two unary operations called tense operators. These algebras constitute a generalization of tense...
Xinhong Chen, Ming Lu (2015)
Colloquium Mathematicae
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Let K be an algebraically closed field. Let (Q,Sp,I) be a skewed-gentle triple, and let and be the corresponding skewed-gentle pair and the associated gentle pair, respectively. We prove that the skewed-gentle algebra is singularity equivalent to KQ/⟨I⟩. Moreover, we use (Q,Sp,I) to describe the singularity category of . As a corollary, we find that if and only if if and only if .
Min Zhang, Jianguo Si (2014)
Annales Polonici Mathematici
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This work deals with Feigenbaum’s functional equation ⎧ , ⎨ ⎩ g(0) = 1, -1 ≤ g(x) ≤ 1, x∈[-1,1] where p ≥ 2 is an integer, is the p-fold iteration of g, and h is a strictly monotone odd continuous function on [-1,1] with h(0) = 0 and |h(x)| < |x| (x ∈ [-1,1], x ≠ 0). Using a constructive method, we discuss the existence of continuous unimodal even solutions of the above equation.
Igor Nikolaev (2015)
Czechoslovak Mathematical Journal
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The paper studies applications of -algebras in geometric topology. Namely, a covariant functor from the category of mapping tori to a category of -algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding -algebras. We use this functor to develop an obstruction theory for the torus bundles of dimension , and . In conclusion, we consider two numerical examples illustrating our main results.
Marius Dadarlat, Wilhelm Winter (2008)
Bulletin de la Société Mathématique de France
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Suppose is a separable unital -algebra each fibre of which is isomorphic to the same strongly self-absorbing and -injective -algebra . We show that and are isomorphic as -algebras provided the compact Hausdorff space is finite-dimensional. This statement is known not to extend to the infinite-dimensional case.
Helena Rasiowa
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Contents Introduction.................................................................................................................................................. 3 § 1. System of a propositional calculus...................................................................... 4 § 2. System ..................................................................................................................... 5 § 3. -algebras.....................................................................................................................
Bjorn Poonen (2008)
Journal of the European Mathematical Society
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The moduli space of rank- commutative algebras equipped with an ordered basis is an affine scheme of finite type over , with geometrically connected fibers. It is smooth if and only if . It is reducible if (and the converse holds, at least if we remove the fibers above and ). The relative dimension of is . The subscheme parameterizing étale algebras is isomorphic to , which is of dimension only . For , there exist algebras that are not limits of étale algebras. The dimension...
Dušan Pokorný, Luděk Zajíček (2022)
Czechoslovak Mathematical Journal
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We give a complete characterization of closed sets whose distance function is DC (i.e., is the difference of two convex functions on ). Using this characterization, a number of properties of such sets is proved.
Mirosław Baran, Leokadia Bialas-Ciez (2012)
Annales Polonici Mathematici
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The paper deals with logarithmic capacities, an important tool in pluripotential theory. We show that a class of capacities, which contains the L-capacity, has the following product property: , where and are respectively a compact set and a norm in (j = 1,2), and ν is a norm in , ν = ν₁⊕ₚ ν₂ with some 1 ≤ p ≤ ∞. For a convex subset E of , denote by C(E) the standard L-capacity and by the minimal width of E, that is, the minimal Euclidean distance between two supporting hyperplanes...
Stefan Müller, Vladimír Šverák (1999)
Journal of the European Mathematical Society
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We study solutions of first order partial differential relations , where is a Lipschitz map and is a bounded set in matrices, and extend Gromov’s theory of convex integration in two ways. First, we allow for additional constraints on the minors of and second we replace Gromov’s −convex hull by the (functional) rank-one convex hull. The latter can be much larger than the former and this has important consequences for the existence of ‘wild’ solutions to elliptic systems. Our...
M. Kuczma
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CONTENTSPART IIntroduction............................................................................................... 31. General solution.................................................................................. 42. Preliminaries and notation................................................................ 53. solutions in *................................................ 74. Change of variables..............................................................................
M. Obradović, S. Owa (1986)
Matematički Vesnik
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James C. Lillo (1967)
Annales Polonici Mathematici
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