Back to matchesWe found a matchYour institution may have rights to this item. Sign in to continue.TitleSPLIT-EXTENSIONS OF EXCHANGE RINGS:: A DIRECT PROOF.AuthorsCĂLUGĂREANU, GRIGOREAbstractA direct ring-theoretic proof for "if R is a ring, e is an idempotent and eRe and (1 - e)R(1 - e) are both exchange rings then R is also an exchange ring" (left open for the last 31 years) is given.SubjectsRING theory; RING extensions (Algebra); ALGEBRAIC fields; MATHEMATICAL analysis; MATHEMATICSPublicationJournal of Algebra & Its Applications, 2009, Vol 8, Issue 5, p629ISSN0219-4988Publication typeArticle