W. McGovern

collaborators

2 papers

math.RA2026

Complemented elements in commutative rings

P. Bhattacharjee, W. Wm. McGovern, Y. Zhou

In what follows we generalize the notion of a complemented ring to rings that are not necessarily reduced. We then determine how our concepts fit in with other well-known classes o…

math.RA2026

Semi-complemented commutative group rings

W. Wm. McGovern, Y. Zhou

Recall that an element $x \in R$ is {\bf complemented} if there is a $y \in R$ such that $x y = 0$ and $x + y \in reg (R)$ . In a recent article [1], the authors investigated thos…