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ISSN : 1226-0657
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Vol.20 No.2
Abstract
In this paper we study the infniteness of Hilbert 2-class field towers of inert imaginary quadratic function fields over <TEX>$\mathbb{F}_q(T)$</TEX>, where <TEX>$q$</TEX> is a power of an odd prime number.
Abstract
In this paper, we study half lightlike submanifolds M of an indefinite cosymplectic manifold <TEX>$\bar{M}$</TEX>, whose structure vector field is not tangent to M. First, we construct two types of such half lightlike submanifolds, named by transversal and normal half lightlike submanifolds. Next, we characterize the lightlike geometries of such two types half lightlike submanifolds.
Abstract
Observing that for any space X, there is a Wallman sublattice <TEX>$\mathfrak{A}_X$</TEX> and that QFX is homeomorphic to a subspace <TEX>$X_q$</TEX> of the Wallman cover <TEX>$\mathfrak{L}(\mathfrak{A}_X)$</TEX> of <TEX>$\mathfrak{A}_X$</TEX>, we show that <TEX>${\beta}QFX$</TEX> and <TEX>$\mathfrak{L}(\mathfrak{A}_X)$</TEX> are homeomorphic.
Abstract
In this paper, we propose a Jonckheere type test statistic for testing the parallelism of k regression lines against ordered alternatives. The order restriction problems could arise in various settings such as location, scale, and regression problems. But most of theory about the statistical inferences under order restrictions has been developed to deal with location parameters. The proposed test is an application of Jonckheere's procedure to regression problem. Asymptotic normality and asymptotic distribution-free properties of the test statistic are obtained under some regularity conditions.
Abstract
As a generalization of fuzzy subsemigroups, the notion of <TEX>${\varepsilon}$</TEX>-generalized fuzzy subsemigroups is introduced, and several properties are investigated. A condition for an <TEX>${\varepsilon}$</TEX>-generalized fuzzy subsemigroup to be a fuzzy subsemigroup is considered. Characterizations of <TEX>${\varepsilon}$</TEX>-generalized fuzzy subsemigroups are established, and we show that the intersection of two <TEX>${\varepsilon}$</TEX>-generalized fuzzy subsemigroups is also an <TEX>${\varepsilon}$</TEX>-generalized fuzzy subsemigroup. A condition for an <TEX>${\varepsilon}$</TEX>-generalized fuzzy subsemigroup to be <TEX>${\varepsilon}$</TEX>-fuzzy idempotent is discussed. Using a given <TEX>${\varepsilon}$</TEX>-generalized fuzzy subsemigroup, a new <TEX>${\varepsilon}$</TEX>-generalized fuzzy subsemigroup is constructed. Finally, the fuzzy extension of an <TEX>${\varepsilon}$</TEX>-generalized fuzzy subsemigroup is considered.
Abstract
We research properties of ternary numbers with values in <TEX>${\Lambda}(2)$</TEX>. Also, we represent dual ternary numbers in the sense of Clifford algebras of real six dimensional spaces. We give generation theorems in dual ternary number systems in view of Clifford analysis, and obtain Cauchy theorems with respect to dual ternary numbers.