TY - JOUR
T1 - Rings whose additive endomorphisms are n-multiplicative, II
AU - Feigelstock, S.
PY - 1992/8
Y1 - 1992/8
N2 - A ring R is called an AE n -ring, n≥2 a positive integer, if every endomorphism φ{symbol} of additive group of R satisfies φ{symbol}(a 1 a 2... a n )=φ{symbol}(a 1)φ{symbol}(a 2)...φ{symbol}(a n ) for all a 1,..., a n εR. Several results concerning the structure of AE n -rings are obtained in this note, including an (incomplete) description of AE n -rings R satisfying R t R n-1 ≠0, where R t is the torsion ideal in R.
AB - A ring R is called an AE n -ring, n≥2 a positive integer, if every endomorphism φ{symbol} of additive group of R satisfies φ{symbol}(a 1 a 2... a n )=φ{symbol}(a 1)φ{symbol}(a 2)...φ{symbol}(a n ) for all a 1,..., a n εR. Several results concerning the structure of AE n -rings are obtained in this note, including an (incomplete) description of AE n -rings R satisfying R t R n-1 ≠0, where R t is the torsion ideal in R.
KW - AE -rings
KW - Mathematics subject classification numbers: 1991, Primary 20K99, 20K16
KW - Rings
KW - additive endomorphisms
UR - http://www.scopus.com/inward/record.url?scp=51649137003&partnerID=8YFLogxK
U2 - 10.1007/bf02454380
DO - 10.1007/bf02454380
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:51649137003
SN - 0031-5303
VL - 25
SP - 21
EP - 26
JO - Periodica Mathematica Hungarica
JF - Periodica Mathematica Hungarica
IS - 1
ER -