Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleDOES THE ENDOMORPHISM POSET P<sup>P</sup> DETERMINE WHETHER A FINITE POSET P IS CONNECTED? AN ISSUE DUFFUS RAISED IN 1978.AuthorsFARLEY, JONATHAN DAVIDAbstractDuffus wrote in his 1978 Ph.D. thesis, "It is not obvious that P is connected and PP ≅ QQ imply that Q is connected", where P and Q are finite nonempty posets. We show that, indeed, under these hypotheses Q is connected and P ≅ Q.SubjectsENDOMORPHISMS; ENDOMORPHISM rings; PARTIALLY ordered sets; EXPONENTIATIONPublicationMathematica Bohemica, 2023, Vol 148, Issue 4, p435ISSN0862-7959Publication typeArticleDOI10.21136/MB.2022.0010-22