Lagranges four squares theorem with one prime and three almost-prime variables
نویسندگان
چکیده
منابع مشابه
On generalisations of almost prime and weakly prime ideals
Let $R$ be a commutative ring with identity. A proper ideal $P$ of $R$ is a $(n-1,n)$-$Phi_m$-prime ($(n-1,n)$-weakly prime) ideal if $a_1,ldots,a_nin R$, $a_1cdots a_nin Pbackslash P^m$ ($a_1cdots a_nin Pbackslash {0}$) implies $a_1cdots a_{i-1}a_{i+1}cdots a_nin P$, for some $iin{1,ldots,n}$; ($m,ngeq 2$). In this paper several results concerning $(n-1,n)$-$Phi_m$-prime and $(n-1,n)$-...
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*Correspondence: [email protected] 2Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, P.R. China Full list of author information is available at the end of the article Abstract In this paper, we show that if λ1, λ2, λ3, λ4 are positive real numbers, at least one of the ratios λi/λj (1≤ i < j≤ 4) is irrational, then the inequality |λ1x2 1 +...
متن کاملon generalisations of almost prime and weakly prime ideals
let $r$ be a commutative ring with identity. a proper ideal $p$ of $r$ is a $(n-1,n)$-$phi_m$-prime ($(n-1,n)$-weakly prime) ideal if $a_1,ldots,a_nin r$, $a_1cdots a_nin pbackslash p^m$ ($a_1cdots a_nin pbackslash {0}$) implies $a_1cdots a_{i-1}a_{i+1}cdots a_nin p$, for some $iin{1,ldots,n}$; ($m,ngeq 2$). in this paper several results concerning $(n-1,n)$-$phi_m$-prime and $(n-1,n)$-...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2003
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.2003.037