منابع مشابه
A Note on Artinianess of Certain Generalized
Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-modules and are Artinian for all integers i and j, whenever and . Also we will show that if a is principal, then the R-modules and ...
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Let $R$ be a prime ring with its Utumi ring of quotients $U$, $C=Z(U)$ the extended centroid of $R$, $L$ a non-central Lie ideal of $R$ and $0neq a in R$. If $R$ admits a generalized derivation $F$ such that $a(F(u^2)pm F(u)^{2})=0$ for all $u in L$, then one of the following holds: begin{enumerate} item there exists $b in U$ such that $F(x)=bx$ for all $x in R$, with $ab=0$; item $F(x)=...
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Foster’s first identity, which is also known as Foster’s network theorem, was initially proved by R. M. Foster [Fo1] in 1949 by using Kirchhoff’s rule. In 1990, D. Copersmith, P. Doyle, P. Raghavan, and M. Snir [CDRS] gave another proof of this theorem by using random walks on graphs. Independently, in 1991, P. Tetali [TP1] gave a third proof of this theorem again by using random walks on graph...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1936
ISSN: 0386-2194
DOI: 10.3792/pia/1195580157