supported by the National Natural Science Foundation of China(22133006,21703287);the Natural Science Foundation of Shandong Province(ZR2023QB067,ZR2022MB065);the Science and Technology Program of the University of Jinan(XKY2068-140200568);Major Subject of the University of Jinan(1420702).
The enhancement in the efficiency of triplet-triplet annihilation upconversion(TTA-UC)is mainly determined by the triplet energy transfer(TET)and triplet-triplet annihilation(TTA)between the sensitizers and annihilato...
supported by the National Natural Science Foundation of China(Grant No.12371041).
Let H be a finite-dimensional pointed Hopf algebra of rank one over an algebraically closed feld of characteristic zero.We describe all annihilator ideals of indecomposable H-modules by generators.In particular,we giv...
Let R be a commutative ring with unity,M be a unitary R-module and F be a simple connected graph.We examine different equivalence relations on subsets A_(f)(M)\{0},A_(s)(M)\{0}and A_(t)(M)/{0}of M,where A_(f)(M)is the...
Supported by Anhui Natural Science Foundation(1808085MA14;1908085MA03);the Key University Science Research Project of Anhui Province(KJ2018A0433).
Let R be a prime ring with characteristic di erent from two,d a derivation of R,L a noncentral Lie ideal of R,and a2R.In the present paper it is showed that if a(d(u^m)±u^m)^n for all u∈L,where m;n are xed positive ...
Supported by the Natural Science Foundation of Anhui Province(Grant Nos.1808085MA14; 1908085MA03);the Key University Science Research Project of Anhui Province(Grant No.KJ2018A0433);Research Project of Chuzhou University(Grant No.zrjz2017005)
Let R be a prime ring with center Z(R), I a nonzero ideal of R, d a nonzero derivation of R and 0≠ a ∈ R. In the present paper, our object is to study the situation a[d(xk);xk]n ∈Z(R) for all x∈I under certain con...
The NSF(11471108) of China;the NSF(2015JJ2051,2016JJ2050) of Hunan Province;the Teaching Reform Foundation(G21316) of Hunan Province
A unitary right R-module MR satisfies acc on d-annihilators if for every sequence(a;);of elements of R the ascending chain AnnM(a;)■ AnnM(a;a;)■AnnM(a;a;a;)■… of submodules of MR stabilizes. In this paper ...
This work was supported by the National Natural Science Foundation of China (Grant No. 11071097) and the Natural Science Foundation of Jiangsu Province (BK20141476).
Let M be a monoid. A ring R is called M-π-Armendariz if whenever a = a1g1+ a292 + …+angn, β= b1h1 + b2h2 + …+ bmhm ∈ R[M] satisfy αβ ∈ nil(R[M]), then aibj ∈ nil(R) for all i, j. A ring R is called ...
Let R be a ring with a derivation 5 and R((x-1;5)) denote the pseudo- differential operator ring over R. We study the relations between the set of annihilators in R and the set of annihilators in R((x-1; 5)). ...
This research was supported by the Natural Science Foundation of Zhejiang Province (LY13A010019), China.
An ideal I of a ring R is strongly separative provided that for all finitely generated projective R-modules A, B with A = AI and B = BI, if 2A ≌ A + B, then A ≌ B. We prove in this paper that a regular ideal I of a...
"When I decided to invigorate Swans,I had a few colors and palettes in my mind.It's more musical in a traditional sense than in the past,"explains Swans founder and sole constant Martin Gira.Emerging out of the vibran...