SUBALGEBRAS AND FINITISTIC DIMENSIONS OF ARTIN ALGEBRAS
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i di A i e ne s fn. m Sd f d a i
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ea p , nmi l ba 【 , l ba w eetecb f h ai ls e 4 adte xm l moo a a ers 3 a ers hr h u eo terd a i zr j n h e l g ] g c o【 , a ers ie — 2. o ee,h nt t i nincnetr tl pna diifr l ba vni f 1] H w vrtef isi dmes ojcueisi oe n sa g g n5 i i c o s l t
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2 0 R u j c a sf a i n 1G1 ; 8 0 0 0M S b e tCls ic to 6 0 1 G2 i
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id f .mA=sp p A l ∈A m d p A <。) ni u {d M M - o, d M 。
Th ntsi dme so O jc u ecamst a v r tn ag b ah saf ief ii i dme — ef iit i n in C n e t r li h t ey Ari le r a nt nts c i n i c e i i t
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so i n.
S a ,o l e ca s s o le r s we e k wn t a e fn t niitc di e i s 0 fr n y a fw l s e fag b a r no o h v ie f ts i m nson .Fo i i r
as e at h usin2met ndi 1] nw r rl t teq et ni e 0. p yo o o n[
2 P r lm i r e e i na i s
Thr u ho tt i pe , l y s u ha i n Ar i l e a o g u h spa r weawa sa s met tA sa tn a g br .W ede o et lba n t hego l di e so o b g . mA nd t a o s n a c lo b a A.Fo n A— m n in fA y 1 di a he J c b o r dia fA y r d r a mod l ,we ueM
i tt i ni ojcue we eet f 1.4frh cgo n n f isidmes ncnetr. f -21]o e ak ru dadsme e rges ni c o r ro 8 t b o wpors n
a o tt i c n et r . b u hs o jc u e
so s i n .The pa r i r a g d a l ws n S c i n 2 we c le t s me d fnii n nd r s t pe s a r n e s f l o o .I e to o lc o e to s a e uls i
caso d c mp s beA— d ls l f n e o o a l mo ue .Wed n t h r jc iedme s no n A— d l s i e o et ep o e t i n i fa mo ue b v o y
pdAX .
数学物理学报
ht: atm .im. . tp /ca s p a c / w cn
SU B A LG EBR A S A N D N I STI D I EN S O N S FI TI C M I 0F RTI LG EBR A S A N A
Z a gA n 张爱平) h n ig(
fo o be p o e r m t r v n.
L t A b n Ari le r ,a d 0 AA _ e e a tn ag b a n _ ÷
_ 1_ … b h n ma n e t e _ ÷ e t e mii lijc i v
rslt no Naaa ojcue 1]h t e- jcieagbaw eee l eoui f o A. kymacnetrdi 3 ta iasli et ler hnvr l n【 As fn v a
aep o etv .Up t O Na a a o jc u e i si p n ti wel n wn t a ntsi r r jc ie o n W, k y ma c n e t r s tl o e .I s l k o h tf i tc l i i
A crigt n[ ,h nt t i nincnetr q i l tt h ol ig codn oXi 9 tef isi dme s ojcuei euv e oteflwn i ] i ic o s an o
s a e e t i t t m n : fB i u l e a o s c ha a s a s ba g br fA u h t t r dB s a lf i a n A ,t e B s fn t i et de li h n ha ie i i iitc d m n i n whe v r A sfn t niitc d m e i n. fn ts i i e so ne e ha ie f ts i i nso i i I t s p pe ,we i v s ia e t e f ts i i e so s o tn a g br s by usng I u a n hi a r n e tg t h niitc d m n i n fAr i le a i g s - i
Po ic Y20 A 5. rvn e( 0 8 0 )
2 3 0 4
ACTA M A THE ATI M CA CI S ENTI A
V0.1S rB 1 e. 3
dme s n c net r i l sN k y ma cnet r, n hsmoiae ut e eerh o i ni o jcue mpi a a a o jcu e a d ti o e t td frh rrsac n v
A bs r c Le be a tn a g b a W e i v s i a e s b l e r s o wih c r a n tat t A n Ar i l e r . n e tg t u a g b a f A t e t i
c n ii n n b a n s m e c a s so l e r o e f ts i m e so s a e fn t . o d to s a d o t i o l s e fa g b a wh s niitc di n i n r ie s i i K e o ds Ar i l e r ; e r s n a i n d m e so f i itc d me i n yw r tn a g b a r p e e t to i n i n; n ts i i nso s i
Z a g S u h a( 顺 华) hn hn u 张
S h o ah ma is S a d n nv riy i a 5 1 0 hn c o l M t e t , h n o g U iest,Jn n 2 0 ,C ia f o c O
E— a l hz ng d e u.n m l:s ha @s u.d c
L t ea ri le r . ealrm … ta h nt t i nino d n tdb e b nA t agb a R c lf A n o h ttef i si dme s f i i c o A, e oe y
i di A i e ne s fn. m Sd f d a i
T d rvfn t nd f e 1 n bansmec se f le rs t nt f isi dme — o oo ci e n di f do ti o l ss g ba hf i nt t i n u o i n 5a a oa wi i ei i c
3,we o a n s m e case fa g b a t n t n ts i m e so s bt i o l s s o l e r s wih f ie f iitc di n i n ,wh c i s a po ii e i i ih gve stv
ea p , nmi l ba 【 , l ba w eetecb f h ai ls e 4 adte xm l moo a a ers 3 a ers hr h u eo terd a i zr j n h e l g ] g c o【 , a ers ie — 2. o ee,h nt t i nincnetr tl pna diifr l ba vni f 1] H w vrtef isi dmes ojcueisi oe n sa g g n5 i i c o s l t
A—n a f ls bc t g r fA — od c n a n n xa ty o e r p e e a i e o a h io o p s i d ul u a e o y o m o t i i g e c l n e r s nt tv fe c s m r him
n e e ro rr sa c , n ieadf r n r o rawel n wnf c Th o e 1 . nS cin e d df u ee rh a dgv iee t o f l k o tf e r m ) I e to o p o f a
2 0 R u j c a sf a i n 1G1 ; 8 0 0 0M S b e tCls ic to 6 0 1 G2 i
1 I r nt oduc i t on
Le be a tn l e a tA n Ar i ag br ,A— o he c t go y o niey g ne a e e t A— m d t a e r ff t l e r t d l f mod e ,a i uls nd
S h 0 fM ah maisa d S aitc,S a d n nv riya ia,W eh i 6 2 9 c 0 lo te tc n tt is h n o g U iest t Weh i s i a 4 0 ,Chn 2 ia
E— a l m i:pi g ng 6@1 . o . n pi 32 cr 63 n
id f .mA=sp p A l ∈A m d p A <。) ni u {d M M - o, d M 。
Th ntsi dme so O jc u ecamst a v r tn ag b ah saf ief ii i dme — ef iit i n in C n e t r li h t ey Ari le r a nt nts c i n i c e i i t
Av lbeonie a ai l l t a n www.cen e r c.o s i c di t r e c n
一
镰wk.baidu.com
黪
: c n e c S i c Di t e r e
A t te t aSi t 0 1 l 5: 3—00 caMahmai c ni 2 1, B() 03 24 c e a a 2
d n t ya dM h l s b a e o yh vn so jc s h ie t u fn eo o a l m- e o eb d t ef l u c tg r a iga b e t edrc ms d c mp sb es u t s oi u