Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38220120715A note on the socle of certain types of f-rings517528214ENThembaDubeUniversity of South AfricaJournal Article20100815For any reduced commutative $f$-ring with identity and bounded <br />inversion, we show that a condition which is obviously necessary for <br />the socle of the ring to coincide with the socle of its bounded <br />part, is actually also sufficient. The condition is that every <br />minimal ideal of the ring consist entirely of bounded elements. It <br />is not too stringent, and is satisfied, for instance, by rings of <br />continuous functions.http://bims.iranjournals.ir/article_214_3c1783bf3988903f43f20700e3e575bc.pdf