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Characterized subgroups of the circle group [PDF]
A subgroup H of the circle group T is said to be characterized by a sequence u = (u(n))(n is an element of N) of integers if H = {x is an element of T : u(n) x -> 0}.
Dikran Dikranjan, Anna Giordano Bruno
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Characterization of fuzzy subgroups
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Asaad, Salah Abou-Zaid
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A simple characterization of fuzzy subgroups
Information Sciences, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takashi Kuraoka, Nobu-Yuki Suzuki
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A characterization of fuzzy subgroups
Fuzzy Sets and Systems, 1982Abstract An ordinary subgroup of a group G is (1) a subset of G, (2) closed under the group operation. In a fuzzy subgroup it is precisely these two notions that lose their deterministic character. A fuzzy subgroup μ of a group (G,·) associates with each group element a number, the larger the number the more certainly that element belongs to the ...
Anthony, J. M., Sherwood, H.
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A characterization of subgroup containment in direct products
Ricerche di Matematica, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brewster, Ben, Lewis, Dandrielle
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Naturally occurring serotype 2/subgroup II rotavirus reassortants in Northern Brazil
This work was supported by a grant PCSACNA-O50971 from the Consejo Nacional de Ciencia y Tecnologia, Mexico. The community-based longitudinal study was supported by a grant froro the World Health Organization, Control of Diarrheal Diseases Program ...
J D Mascarenhas +2 more
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Statistically characterized subgroups of the circle
Fundamenta Mathematicae, 2020Let \(\mathbb T\) denote the circle group in additive notation. If \((a_n)\) is a sequence of integers, then the subgroup \(t_{(a_n)}(\mathbb T) = \{x\in \mathbb T: a_nx \to 0 \text{ in }\mathbb T\}\) of \(\mathbb T\) is called a characterized subgroup of \(\mathbb T\). The authors replace in this definition usual convergence by statistical convergence
Dikranjan D., Das P., Bose K.
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