• Title/Summary/Keyword: maximal

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A Note on Maximal Entropy OWA Operator Weights

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.2
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    • pp.537-541
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    • 2006
  • In this note, we give an elementary simple proof of the main result of $Full{\acute{e}}rand$ Majlender [Fuzzy Sets and systems 124(2001) 53-57] concerning obtaining maximal entropy OWA operator weights.

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ALGORITHMS FOR MINIMAL FREE RESOLUTIONS HAVING MAXIMAL POSSIBLE BETTI NUMBERS

  • Shin, Yong-Su
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.393-404
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    • 2004
  • We introduce several algorithms for adding up Artinian O-sequences to obtain the maximal possible Betti numbers among all minimal free resolutions with the given Hilbert function. Moreover, we give open questions based on the outputs using those algorithms.

NOTES ON MAXIMAL COMMUTATIVE SUBALGEBRAS OF 14 BY 14 MATRICES

  • Song, Youngkwon
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.291-299
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    • 1999
  • Let ${\Omega}$ be the set of all commutative $k$-subalgebras of 14 by 14 matrices over a field $k$ whose dimension is 13 and index of Jacobson radical is 3. Then we will find the equivalent condition for a commutative subalgebra to be maximal.

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Strong-max cyclic submodules

  • Chin-Hong Park
    • Journal of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.1-9
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    • 1998
  • In this paper we define CR(completely reachable), MICR(minimal cyclic refinement) and MACR(maximal cyclic refinement)-Modules. We have obtained equivalent statements for minimal cyclic submodule and maximal cyclic submodule. Also, we have obtained necessary and sufficient conditions for a module M with MICR to be cyclic or strongly cyclic.

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