(n, d)-Injective covers, n-coherent rings, and (n, d)-rings
نویسندگان
چکیده
منابع مشابه
On n-coherent rings, n-hereditary rings and n-regular rings
We observe some new characterizations of $n$-presented modules. Using the concepts of $(n,0)$-injectivity and $(n,0)$-flatness of modules, we also present some characterizations of right $n$-coherent rings, right $n$-hereditary rings, and right $n$-regular rings.
متن کامل$n$-cocoherent rings, $n$-cosemihereditary rings and $n$-V-rings
Let $R$ be a ring, and let $n, d$ be non-negative integers. A right $R$-module $M$ is called $(n, d)$-projective if $Ext^{d+1}_R(M, A)=0$ for every $n$-copresented right $R$-module $A$. $R$ is called right $n$-cocoherent if every $n$-copresented right $R$-module is $(n+1)$-coprese-nted, it is called a right co-$(n,d)$-ring if every right $R$-module is $(n, d)$-projective. $R$...
متن کاملon n-coherent rings, n-hereditary rings and n-regular rings
we observe some new characterizations of $n$-presented modules. using the concepts of $(n,0)$-injectivity and $(n,0)$-flatness of modules, we also present some characterizations of right $n$-coherent rings, right $n$-hereditary rings, and right $n$-regular rings.
متن کامل$n$-cocoherent rings, $n$-cosemihereditary rings and $n$-v-rings
let $r$ be a ring, and let $n, d$ be non-negative integers. a right $r$-module $m$ is called $(n, d)$-projective if $ext^{d+1}_r(m, a)=0$ for every $n$-copresented right $r$-module $a$. $r$ is called right $n$-cocoherent if every $n$-copresented right $r$-module is $(n+1)$-coprese-nted, it is called a right co-$(n,d)$-ring if every right $r$-module is $(n, d)$-projective. $r$ ...
متن کامل(n,m)-SG RINGS
This paper is a continuation of the paper Int. Electron. J. Algebra 6 (2009), 219–227. Namely, we introduce and study a doubly filtered set of classes of rings of finite Gorenstein global dimension, which are called (n,m)-SG for integers n ≥ 1 and m ≥ 0. Examples of (n,m)-SG rings, for n = 1 and 2 and every m ≥ 0, are given.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2014
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-014-0101-1