• 제목/요약/키워드: characterize

검색결과 4,873건 처리시간 0.031초

PRIMITIVE ORE EXTENSIONS OVER SPECIAL MATRIX RINGS

  • Jang Ho Chun;June Won Park
    • 대한수학회논문집
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    • 제11권3호
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    • pp.557-562
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    • 1996
  • We find an equivalent condition of $M_n(R)[x, \delta]$ to be primitive and characterize a special subring P of $M_n(R)$. Also, we find an equivalent condition of $P[x, \delta]$ to be primitive.

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FUZZY LATTICES

  • Chon, Inheung
    • Korean Journal of Mathematics
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    • 제16권3호
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    • pp.403-412
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    • 2008
  • We define the operations ${\vee}$ and ${\wedge}$ for fuzzy sets in a lattice, characterize fuzzy sublattices in terms of ${\vee}$ and ${\wedge}$, develop some properties of the distributive fuzzy sublattices, and find the fuzzy ideal generated by a fuzzy subset in a lattice and the fuzzy dual ideal generated by a fuzzy subset in a lattice.

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A NOTE ON PRECONVEXITY SPACES

  • Min, Won-Keun
    • 호남수학학술지
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    • 제29권4호
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    • pp.589-595
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    • 2007
  • In this paper, we introduce the concepts of the convexity hull and co-convex sets on preconvexity spaces. We study some properties for the co-convexity hull and characterize c-convex functions and c-concave functions by using the co-convexity hull and the convexity hull.

ON THE GEODESIC SPHERES OF THE 3-DIMENSIONAL HEISENBERG GROUPS

  • Jang, Chang-Rim;Kim, Rok;Park, Keun
    • East Asian mathematical journal
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    • 제21권1호
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    • pp.113-122
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    • 2005
  • Let $\mathbb{H}^3$ be the 3-dimensional Heisenberg group equipped with a left-invariant metric. In this paper, We characterize the Gaussian curvatures of the geodesic spheres on $\mathbb{H}^3$.

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CHARACTERIZATION OF OPERATORS TAKING P-SUMMABLE SEQUENCES INTO SEQUENCES IN THE RANGE OF A VECTOR MEASURE

  • Song, Hi-Ja
    • East Asian mathematical journal
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    • 제24권2호
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    • pp.201-212
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    • 2008
  • We characterize operators between Banach spaces sending unconditionally weakly p-summable sequences into sequences that lie in the range of a vector measure of bounded variation. Further, we describe operators between Banach spaces taking unconditionally weakly p-summable sequences into sequences that lie in the range of a vector measure.

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CONGRUENCES ON TERNARY SEMIGROUPS

  • Kar, S.;Maity, B.K.
    • 충청수학회지
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    • 제20권3호
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    • pp.191-201
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    • 2007
  • In this paper we introduce the notion of congruence on a ternary semigroup and study some interesting properties. We also introduce the notions of cancellative congruence, group congruence and Rees congruence and characterize these congruences in ternary semigroups.

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