INJECTIVE

作品数：108被引量：119H指数：6
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相关领域：理学自动化与计算机技术更多>>
相关作者：卜月华陈建龙杜先能佟文廷叶飘飘更多>>
相关机构：浙江师范大学南京师范大学东南大学安徽大学更多>>
相关期刊：《Algebra Colloquium》《浙江师范大学学报（自然科学版）》《Applied Mathematics and Mechanics(English Edition)》《Journal of Computer Science & Technology》更多>>
相关基金：国家自然科学基金国家教育部博士点基金上海市自然科学基金北京市自然科学基金更多>>
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Injective coloring of planar graphs with girth 5
《Frontiers of Mathematics in China》2022年第3期473-484,共12页Yuehua BU Piaopiao YE 
the National Natural Science Foundation of China(No.11771403).
A coloring of a graph G is injective if its restriction to the neighbour of any vertex is injective.The injective chromatic number x_(i)(G)of a graph G is the least k such that there is an injective k-coloring.In this...
关键词：Planar graph GIRTH injective coloring FACE 
Pure projective modules and FP-injective modules over Morita rings被引量：3
《Frontiers of Mathematics in China》2020年第6期1265-1293,共29页Meiqi YAN Hailou YAO 
supported in part by the National Natural Science Foundation of China(Grant Nos.11671126,12071120).
Let ∧_(0,0)=(A_BMAANB_B)be a Morita ring,where the bimodule homomorphisms φ and ψ are zero.We study the finite presentedness,locally coherence,pure projectivity,pure injectivity,and FP-injectivity of modules over A...
关键词：Morita ring finitely presented pure projective pure injective locally coherent FP-injective 
Cartan-Eilenberg iV-complexes with respect to self-orthogonal subcategories
《Frontiers of Mathematics in China》2020年第2期351-365,共15页Bo LU Zhenxing DI Yifu LIU 
This work was supported by the Fundamental Research Funds for the Central Universities(No.31920190054);the National Natural Science Foundation of China(Grant No.11971388);XBMUYJRC(No.201406).
Let R be an arbitrary associated ring.For an integer N≥2 and a self-orthogonal subcategory W of R-modules,we study the notion of Cartan-Eilenberg W N-complexes.We show that an N-complex X is Cartan-Eilenberg W if and...
关键词：Cartan-Eilenberg W N-complex Cartan-Eilenberg projective N-complex Cartan-Eilenberg injective TV-complex Cartan-Eilenberg balance 
Gorenstein injective sheaves
《Frontiers of Mathematics in China》2017年第1期87-95,共9页Sergio ESTRADA Alina IACOB 
We define Gorenstein injective quasi-coherent sheaves, and prove that the notion is local in case the scheme is Gorenstein. We also give a new characterization of a Gorenstein scheme in terms of the total acyclicity o...
关键词：Gorenstein injective Noetherian scheme 
On the homotopy category of AC-injective complexes被引量：2
《Frontiers of Mathematics in China》2017年第1期97-115,共19页James GILLESPIE 
Let R be any ring. We motivate the study of a class of chain complexes of injective R-modules that we call A C-injective complexes, showing that K（AC-Inj）, the chain homotopy category of all AC-injective complexes, ...
关键词：AC-injective RECOLLEMENT compactly generated triangulated category 
On Gorenstein coalgebras
《Frontiers of Mathematics in China》2016年第4期845-867,共23页Xuerong FU Hailou YAO 
The authers sincerely thank the referees and Prof. Dingguo Wang for the careful reading and helpful suggestions in improving the paper. This work was supported by the National Natural Science Foundation of China （Grant No. 11271119） and the Natural Science Foundation of Beijing （Grant No. 1122002）.
We investigate the comodule representation category over the Morita-Takeuchi context coalgebra F and study the Gorensteinness of F. Moreover, we determine explicitly all Gorenstein injective comodules over the Morita-...
关键词：Gorenstein coalgebra Gorenstein injective comodule Gabriel quiver 
Recent development of Faith conjecture
《Frontiers of Mathematics in China》2016年第4期933-947,共15页Kazutoshi KOIKE Kiyoichi OSHIRO 
Is a semiprimary right self-injective ring a quasi-Frobenius ring？ Almost half century has passed since Faith raised this problem. He first conjectured “No” in his book Algebra II. Ring Theory in 1976, but changing...
关键词：Semiprimary right self-injective ring Faith conjecture division algebra D （D D）-space ErdSs-Kaplansky＇s theorem quasi-Frobenius ring Nakayama permutation 
Injective objects of monomorphism categories
《Frontiers of Mathematics in China》2016年第2期401-409,共9页Keyan SONG Yuehui ZHANG 
The first author was supported by the National Natural Science Foundation of China （Grant No. 11501465） and the Fundamental Research Funds for the Central Universities （XDJK2015C041）, the second author was supported by the National Natural Science Foundation of China （Grant Nos. 11271257, 11201377） and the Natural Science Foundation of Shanghai （13ZR1422500）.
For an acyelic quiver Q and a finite-dimensional algebra A, we give a unified form of the indecomposable injective objects in the monomorphism category Mon（Q, A） and prove that Mon（Q, A） has enough injective objects.
关键词：Monomorphism categories injective objects 
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