Supported by NSFC(Grant Nos.11971225,12171207,12001168);Henan University of Engineering(Grant Nos.DKJ2019010,XTYR-2021JZ001);the Key Research Project of Education Department of Henan Province(Grant No.21A110006)。
We investigate the behavior of the extension dimension of subcategories of abelian categories under recollements.LetΛ',Λ,Λ"be art in algebras such that(modΛ',mod A,modΛ")is a recollement,and let D'and D"be subcat...
Starting from the so-called “blue clearing” phenomenon, this paper establishes a link between disturbances of the Martian gravitational potential, the Allais effect of syzygy, astral influences and the Raman Stokes ...
Supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD)
The main objective of this paper is to study the dimension trees and further the homological dimensions of the extension algebras -- dual and trivially twisted extensions -- with a unified combinatorial approach using...
supported by National Natural Science Foundation of China(Grant No.11231003);the Science Foundation of Shanghai(Grant No.13DZ2260600);East China Normal University Reward for Excellent Doctors in Academics(Grant No.XRZZ2012014)
Let R be a Noetherian unique factorization domain such that 2 and 3 are units,and let A=R[α]be a quartic extension over R by adding a rootαof an irreducible quartic polynomial p(z)=z4+az2+bz+c over R.We will compute...
Let f0, f1, f2, f3 be linearly independent homogeneous quadratic forms in the standard Z-graded ring R := K[s, t, u], and gcd(f0, f1, f2, f3) = 1. This defines a rational map Ф : P2 → P3. The Rees algebra Rees(...
Several simultaneous observations are presented of Syzygy effects during two solar eclipses, performed with torsinds and Foucault pendulums. The experiments/measurements were of a simple nature, conducted in several o...
Supported by the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20100091110034);National Natural Science Foundation of China (Grant No. 11171142);Natural Science Foundation of Jiangsu Province of China (Grant Nos. BK2010047, BK2010007);a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions
Recently, Takahashi established a new approximation theory for finitely generated modules over commutative Noetherian rings, which unifies the spherical approximation theorem due to Auslan- der and Bridger and the Coh...
the Specialized Research Fund for the Doctoral Program of Higher Education (Grant Nos. 20030284033, 20060284002);the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2005207)
In this paper, we first introduce the notion of generalized k-syzygy modules, and then give an equivalent characterization that the class of generalized k-syzygy modules coincides with that ofω-k-torsionfree modules....