DETERMINANT OF INCIDENCE MATRIX OF NIL-ALGEBRA

Title & Authors
DETERMINANT OF INCIDENCE MATRIX OF NIL-ALGEBRA
Lee, Woo;

Abstract
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$\small{\_}$p/$\small{\^}$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.
Keywords
incidence matrix;nil-algebra;nil-index;
Language
English
Cited by
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