대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제17권4호
  • /
  • Pages.577-581
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  • 2002
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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DETERMINANT OF INCIDENCE MATRIX OF NIL-ALGEBRA

  • Lee, Woo (Division of Computer, Electronics and Communication Engineering Kwangju University)
  • 발행 : 2002.10.01
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초록

The incidence matrices corresponding to a nil-algebra of finite index % can be used to determine the nilpotency. We find the smallest positive integer n such that the sum of the incidence matrices Σ$\_$p/$\^$p/ is invertible. In this paper, we give a different proof of the case that the nil-algebra of index 2 has nilpotency less than or equal to 4.

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참고문헌

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