# DETERMINANT OF INCIDENCE MATRIX OF NIL-ALGEBRA

• Lee, Woo
• Published : 2002.10.01
• 73 3

#### 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$\_$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.

#### Keywords

incidence matrix;nil-algebra;nil-index

#### References

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