On commutative differential algebras (Q1345825)

A former paper [Stud. Math. 77, 115-120 (1984; Zbl 0479.46023)] of the author concerning commutative differential algebras is corrected and continued. These algebras contain elements \(h\), \(\delta\), which can be interpreted as Heaviside's jump function and Dirac's delta distributions, respectively. In particular, the elements \(\delta^{(m)^ 2} \delta^{(n)}\) with \(m,n \geq 0\) are linearly dependent on \(\delta^{(i)} \delta^{(j)} \delta^{(k)}\) with \(i>j >k\geq 0\). Moreover, an integral \(t\) with \(t'=h\) is adjuncted.