Generalized Rickart \(\ast \)-rings
A ring \(R\) with an involution \(*\) is a generalized Rickart \(*\)-ring if for every \(x\in R\) there is a positive integer \(n\) such that the right annihilator of \(x^n\) is generated by a projection. The authors study various properties of generalized Rickart \(*\)-rings and their relations with generalized Baer \(*\)-rings and other related rings (for example, generalized Baer and generalized Rickart rings). They present various examples and non-examples of generalized Rickart \(*\)-rings (for example, generalized Rickart \(*\)-rings which are neither Rickart \(*\)-rings nor generalized Baer \(*\)-rings).
scientific article; zbMATH DE number 7436433
scientific article