Baer has shown that, for a group G, finiteness of G=Zi(G) implies finiteness of ɣi+1(G). In this paper we will show that the converse is true provided that G=Zi(G) is finitely generated. In particular, when G is a finite nilpotent group we show that |G=Zi(G)| divides |ɣi+1(G)|d′ i(G), where d′i(G) =(d( G /Zi(G)))i.

The first part of the paper is concerned to relationship between the sets of associated primes of the generalized $d$-local cohomology modules and the ordinary  generalized local cohomology  modules.  Assume that $R$ is a commutative Noetherian local ring, $M$ and $N$  are  finitely generated  $R$-modules and $d, t$ are two integers. We prove that $Ass H^t_d(M,N)=bigcup_{Iin Phi} Ass H^t_I(M,N)...

Angiotensin converting enzyme (ACE; OMIM: 106180) has an important role in the conversion of angiotensin I to angiotensin II and degradation of bradykinin. Genetic polymorphism I/D (rs4646994) in the gene encoding ACE has been well defined. To get more insight into the genetic structure of Iranian populations, the distribution of the ACE I/D polymorphism among Iranians was compared with each ot...

Let $(R,m)$ be a commutative Noetherian local ring, $M$ a finitely generated $R$-module of dimension $d$, and let $I$ be an ideal of definition for $M$. In this paper, we extend cite[Corollary 10(4)]{P} and also we show that if $M$ is a Cohen-Macaulay $R$-module and $d=2$, then $lambda(frac{widetilde{I^nM}}{Jwidetilde{I^{n-1}M}})$ does not depend on $J$ for all $ngeq 1$, where $J$ is a minimal ...

An in vitro experiment was conducted to determine the effect of supplemental non-fiber carbohydrate(NFC) on the disappearance kinetics of cellulose (Ce) by mixed ruminal microorganisms. Non-supplementedor NFC supplemented cellulose (467 mg NFC/g cellulose as sucrose (CeSu) or starch (CeSt) or a 1:1 mixtureof sucrose + starch (CeSuSt)) were incubated for 24, 48, and 96 h at 39°C. After each incu...

one hundr od pa t i e nt s hospitalized at t h medical war d o f 2mam khome nyni . hospi tal were psyc hia t r i cally i nterviewe d and examined regardless of the i r phys i ca l diag nos i s . psychiatric diag nosis were so suggested. it was f ound that only 36 rercent o f the s ample were psychologic a l ly normal t he r emaining 64 per cent were found t o have neurotic pers onality o r su~f...

the extensive use of pesticides in agriculture is compromising soil and water quality. one major concern is protecting water resources from contamination. the main objective of this research was measuring 2,4- d in a silty clay soil and simulating temporal transportation of this herbicide in soil using a leachp model, in a corn root zone field. 2,4- d was applied at 3.5 kg a.i./ha, followed by ...