数学季刊（英文版）
數學季刊（英文版）
수학계간（영문판）
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2009年
4期
561-567
,共7页
周慧倩%刘震%李起升
週慧倩%劉震%李起升
주혜천%류진%리기승
discrete horizontal complex%noncommutative differential calculus%discrete higher Euler operator%homotopy operator
We define discrete total differential forms on lattice space by. changing coefficients of discrete differential forms from functions only of n to functions also of dependent variables u,, and their partial differences. And the discrete exterior derivative extends to be discrete total differential map which is also nilpotent. Then a discrete horizontal complex can be derived and be proved to be exact by constructing homotopy operators.
