• Title/Summary/Keyword: Notion

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ON THE QUOTIENT BOOLEAN ALGEBRA ℘(S)/I

  • Baik, Seung-Il;Kyoung, Il-Ho
    • Korean Journal of Mathematics
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    • v.12 no.1
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    • pp.49-54
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    • 2004
  • In this paper we introduce the notion of quotient Boolean algebra and study the relation between the ideals of Boolean algebra ${\wp}(S)$ and the ideals of quotient Boolean algebra ${\wp}(S)/I$.

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A NOTE ON NOETHERIAN AND ARTINIAN BCK-ALGEBRAS

  • Ahn, Sun-Shin;Kim, Hee-Sik
    • The Pure and Applied Mathematics
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    • v.2 no.1
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    • pp.61-65
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    • 1995
  • In this paper we introduce the notion of Artinian and obtain some properties of Artinian and Noetherian BCK-algebras.

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수학적 엄밀성에 대한 역사적 고찰

  • Heo, Min
    • Journal for History of Mathematics
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    • v.11 no.2
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    • pp.17-28
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    • 1998
  • The problem of mathematical rigor is that of giving an objective definition of a rigorous proof. But standards of rigor have changed in mathematics and the notion of proof is not absolute. There are different versions of proof or rigor, depending on time, place, and other things. In this paper we will briefly trace that evolution.

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R-MAPS AND L-MAPS IN BH-ALGEBRAS

  • Ahn, Sun Shin;Kim, Hee Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.2
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    • pp.53-59
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    • 2001
  • In this paper, we introduce the notion of positive implicative BH-algebras and study some relations between R - (L-) maps and positive implicativity in BH-algebras.

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MODIFICATIONS OF PRODUCT CONVERGENCE STRUCTURES

  • Park, Sang-Ho
    • East Asian mathematical journal
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    • v.17 no.2
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    • pp.217-224
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    • 2001
  • In this paper, we introduce the notion of some modification of given convergence structure and product convergence. Also, we find some properties which hold between the modification associated with a product of convergence structures and the product of modifications associated with the factor convergence structures.

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A Geometric Characterization of Complete Continuity Property

  • Lim, Jong Sul;Eun, Gwang Sik;Yoon, Ju Han
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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    • pp.217-226
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    • 1994
  • We introduce the notion of the mean Bocce dentable and provide the geometric characterization of the CCP. We show that X has the CCP if and only if every bounded subset of X is mean Bocce dentable.

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A Note on the Weakly 2-convergent Sequences in 2-metric Spaces

  • Han, Jinkyu
    • Journal of the Chungcheong Mathematical Society
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    • v.5 no.1
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    • pp.173-183
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    • 1992
  • In this paper, we introduce the notion of the weakly 2-convergence and strongly 2-convergence for 2-metric spaces. And we investigate its properties and prove the closedness and convexity of T(z,y, z).

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