Extensions of Injectivity and Coherent Rings
Extensions of Injectivity and Coherent Rings
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DOI：
10.1080/00927870500346263
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发表时间：
2006-01
影响因子：
0.7
通讯作者：
Jianlong Chen;Yiqiang Zhou
中科院分区：
文献类型：
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作者：
Jianlong Chen;Yiqiang Zhou
对环D和子环C，设n [D，C ] = {（d1，.，dn，c，c，.）：di ∈ D，c ∈ C，n ≥ 1}是环D的子环，设n [D，C]是n [D，C]的子环。本文给出了[D，C ]和D <$D是右（m，n）-内射（特别是P-内射，f-内射，FP-内射），右凝聚和右FC的各种条件.利用右非奇异右（m，n）-内射环的极大右商环刻画了右非奇异右（m，n）-内射环.由I传达。斯旺森
ABSTRACT For a ring D and a subring C, let ℛ[D,C ] = {(d 1,…, d n , c,c,…): d i ∈ D, c ∈ C, n ≥ 1}, a subring of , and let , a subring of 𝕄2(D). In this article, various conditions are obtained for ℛ[D,C ] and D∝ D to be right (m,n)-injective (in particular, P-injective, f-injective, FP-injective), right coherent, and right FC. Right nonsingular right (m,n)-injective rings are characterized using their maximal right quotient rings. Communicated by I. Swanson.