The Seminar on Generalized Inverse and Applications has been held since 1985. Over the years the participants in this seminar have studied papers on generalized invertibility intensively and have produced a collection of articles and monographs. Our primary interest is in generalized inverse in linear algebra, operator theory and its applications. We have regular weekly meetings that last 90 minutes in which papers and monographs, both classical and new, are analyzed in detail. In addition, several papers have been published in well-known journals.