• Title/Summary/Keyword: Near-rings

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Correction to "On prime near-rings with generalized (σ, τ)- derivations, Kyungpook Math. J., 45(2005), 249-254"

  • Al Hwaeer, Hassan J.;Albkwre, Gbrel;Turgay, Neset Deniz
    • Kyungpook Mathematical Journal
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    • v.60 no.2
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    • pp.415-421
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    • 2020
  • In the proof of Theorem 3 on p.253 in [4], both right and left distributivity are assumed simultaneously which makes the proof invalid. We give a corrected proof for this theorem by introducing an extension of Lemma 2.2 in [2].

SOME RESULTS ON π-REGULARITY AND πS-UNITALITY

  • Cho, Yong Uk
    • Korean Journal of Mathematics
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    • v.17 no.4
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    • pp.341-347
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    • 2009
  • In this paper, we begin with to show the characterization of regularity and S-unitality in near-rings, also consider their application. Next, we introduce more general concepts of regularity and S-unitality, that is, ${\pi}$-regularity and ${\pi}S$-unitality and then give some examples in near-rings, also investigate their characterization and properties.

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ON INTUITIONISTIC FUZZY R-SUBGROUPS OF NEAR-RINGS

  • CHO YONG UK;JUN YOUNG BAE
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.665-677
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    • 2005
  • The notion of normal intuitionistic fuzzy R-subgroups in near-rings is introduced, and related properties are investigated. Characterization of an intuitionistic fuzzy R-subgroup is given. Using a collection of right R-subgroups, an intuitionistic fuzzy right R-subgroup is established. Using a chain of right R-subgroups, an intuitionistic fuzzy right R-subgroup is also established.

A STUDY ON FAITHFUL AND MONOGENIC R-GROUPS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.19 no.1
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    • pp.151-164
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    • 2003
  • Throughout this paper, we will consider that R is a near-ring and G is an R-group. We initiate the study of monogenic and strongly monogenic R-groups and their basic properties. Also, we investigate some properties of D.G. R-groups, faithful R-groups and monogenic R-groups and we determine that when near-rings are rings.

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PRIME NEAR-RINGS

  • BAE, CHUL KON
    • Communications of the Korean Mathematical Society
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    • v.3 no.2
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    • pp.125-131
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    • 1988
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