Relative Milnor $K$-groups and differential forms of split nilpotent extensions

Sergey Gorchinskiy, Dimitrii Tyurin

Let $R$ be a commutative ring and $I\subset R$ be a nilpotent ideal such that the quotient $R/I$ splits out of $R$ as a ring. Let $N$ be a natural number such that $I^N=0$. We es…