TY - JOUR
ID - 214
TI - A note on the socle of certain types of f-rings
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Dube, Themba
AD - University of South Africa
Y1 - 2012
PY - 2012
VL - 38
IS - 2
SP - 517
EP - 528
KW - frame
KW - function rings
KW - ideal
KW - socle
DO -
N2 - For any reduced commutative $f$-ring with identity and bounded inversion, we show that a condition which is obviously necessary for the socle of the ring to coincide with the socle of its bounded part, is actually also sufficient. The condition is that every minimal ideal of the ring consist entirely of bounded elements. It is not too stringent, and is satisfied, for instance, by rings of continuous functions.
UR - http://bims.iranjournals.ir/article_214.html
L1 - http://bims.iranjournals.ir/article_214_3c1783bf3988903f43f20700e3e575bc.pdf
ER -