QUOTIENTS

作品数:40被引量:38H指数:5
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相关领域:理学医药卫生更多>>
相关作者:韩冰陈一宏齐小军更多>>
相关机构:北京理工大学天水师范学院更多>>
相关期刊:《Journal of Beijing Institute of Technology》《Algebra Colloquium》《Science Bulletin》《Frontiers of Mathematics in China》更多>>
相关基金:国家自然科学基金国家教育部博士点基金高等学校学科创新引智计划美国国家科学基金更多>>
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Extriangulated ideal quotients and Gabriel-Zisman localizations
《Science China Mathematics》2025年第3期507-532,共26页Yu Liu Panyue Zhou 
supported by National Natural Science Foundation of China(Grant No.12171397);Panyue Zhou was supported by National Natural Science Foundation of China(Grant No.12371034);the Hunan Provincial Natural Science Foundation of China(Grant No.2023JJ30008)。
Let(B,E,s)be an extriangulated category and S be an extension closed subcategory of B.In this article,we prove that the Gabriel-Zisman localization B/S can be realized as an ideal quotient inside B when S satisfies so...
关键词:cotorsion pairs extriangulated categories LOCALIZATIONS quotient categories 
Verdier quotients of homotopy categories of rings and Gorenstein-projective precovers
《Science China Mathematics》2024年第12期2701-2712,共12页Manuel Cortes-Izurdiaga 
supported by the Spanish Government (Grant No. PID2020-113206GBI00, funded by MCIN/AEI/10.13039/501100011033);Junta de Andalucia (Grant No. P20-00770)。
Let R be a ring, Proj be the class of all the projective right R-modules, K be the full subcategory of the homotopy category K(Proj) whose class of objects consists of all the totally acyclic complexes, and MorK be th...
关键词:homotopy category Gorenstein-projective precover Verdier quotient small Hom-sets totally acyclic complex 
MULTIFRACTAL ANALYSIS OF CONVERGENCE EXPONENTS FOR PRODUCTS OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS
《Acta Mathematica Scientia》2024年第4期1594-1608,共15页Lulu FANG Jihua MA Kunkun SONG Xin YANG 
supported by the Scientific Research Fund of Hunan Provincial Education Department(21B0070);the Natural Science Foundation of Jiangsu Province(BK20231452);the Fundamental Research Funds for the Central Universities(30922010809);the National Natural Science Foundation of China(11801591,11971195,12071171,12171107,12201207,12371072)。
For each real number x∈(0,1),let[a_(1)(x),a_(2)(x),…,a_n(x),…]denote its continued fraction expansion.We study the convergence exponent defined byτ(x)=inf{s≥0:∞∑n=1(a_(n)(x)a_(n+1)(x))^(-s)<∞},which reflects t...
关键词:continued fractions product of partial quotients Hausdorff dimension 
Some Implications of the Gessel Identity
《Applied Mathematics》2023年第9期545-579,共35页Claire Levaillant 
We generalize the congruences of Friedmann-Tamarkine (1909), Lehmer (1938), and Ernvall-Metsänkyla (1991) on the sums of powers of integers weighted by powers of the Fermat quotients to the next Fermat quotient power,...
关键词:Convolutions Involving Bernoulli Numbers Truncated Convolutions Involving Bernoulli Numbers CONGRUENCES Binomial and Multinomial Convolutions of Divided Bernoulli Numbers Multiple Harmonic Sums Generalized Harmonic Numbers Miki Identity Gessel Identity Sums of Powers of Integers Weighted by Powers of the Fermat Quotients Generalization of Kummer’s Congruences Generalizations of Friedmann-Tamarkine Lehmer Ernvall-Metsänkyla’s Congruences p-Adic Numbers Weighted Sums of Powers of Integers 
The distribution of the large partial quotients in continued fraction expansions
《Science China Mathematics》2023年第5期935-956,共22页Bo Tan Chen Tian Baowei Wang 
supported by National Natural Science Foundation of China(Grant Nos.12171172 and 11831007)。
The existence of large partial quotients destroys many limit theorems in the metric theory of continued fractions.To achieve some variant forms of limit theorems,a common approach mostly used in practice is to discard...
关键词:continued fraction Hausdor dimension Borel-Bernstein theorem 
On the Linear Complexity of a Class of Periodic Sequences Derived from Euler Quotients
《Chinese Journal of Electronics》2023年第2期262-272,共11页LUO Bingyu ZHANG Jingwei ZHAO Chang’an 
supported by Guangdong Major Project of Basic and Applied Basic Research(2019B030302008);the National Natural Science Foundation of China(61972428);the Open Fund of State Key Laboratory of Information Security(Institute of Information Engineering,Chinese Academy of Sciences)(2020-ZD-02);Guangdong Basic and Applied Basic Research Foundation(2019A1515011797).
In this paper,a family of binary sequences derived from Euler quotients with RSA modulus pq is introduced.Here two primes p and q are distinct and satisfy gcd(pq,(p−1)(q−1))=1.The linear complexities and minimal polyn...
关键词:CRYPTOGRAPHY Binary sequences Linear complexity Euler quotients RSA modulus 
Diophantine Quotients and Remainders with Applications to Fermat and Pythagorean Equations
《American Journal of Computational Mathematics》2023年第1期199-210,共12页Prosper Kouadio Kimou François Emmanuel Tanoé 
Diophantine equations have always fascinated mathematicians about existence, finitude, and the calculation of possible solutions. Among these equations, one of them will be the object of our research. This is the Pyth...
关键词:Diophantine Equation Modular Arithmetic Fermat-Wiles Theorem Pythagorean Triplets Division Theorem Division Algorithm Python Program Diophantine Quotients Diophantine Remainders 
ON THE(CO)HOMOLOGY OF(QUOTIENTS OF)MOMENT-ANGLE MANIFOLDS OVER POLYGONS
《Acta Mathematica Scientia》2022年第6期2204-2222,共19页Zhi LV Song ZHANG 
Partially supported by the NSFC(11971112);China ScholarshipCouncil(202106100095).
The purpose of this paper is to represent the cohomology ring of a moment-angle manifold over an m-gon explicitly in terms of the quotient of an exterior algebra,and to count the Betti numbers of the cohomology groups...
关键词:moment-angle manifold spectral sequence cohomology ring Betti number 
Efficiency of Profinite Rigidity of Triangle Groups
《Acta Mathematica Sinica,English Series》2022年第10期1939-1948,共10页Ji Ming MA Zi Xi WANG 
partially supported by NSFC(Grant No.12171092)。
It is already known that finitely-generated Fuchsian groups are profinitely rigid among all lattices of connected Lie groups by the result of Bridson,Conder and Reid.Hence the triangle groups are distinguished among t...
关键词:Triangle groups profinite completion finite quotients 
Abelian quotients and orbit sizes of linear groups
《Science China Mathematics》2020年第8期1523-1534,共12页Thomas Michael Keller Yong Yang 
supported by National Natural Science Foundation of China(Grant No.11671063);a grant from the Simons Foundation(Grant No.280770 to Thomas M.Keller);a grant from the Simons Foundation(Grant No.499532 to Yong Yang)。
Let G be a finite group,and let V be a completely reducible faithful finite G-module(i.e.,G≤GL(V),where V is a finite vector space which is a direct sum of irreducible G-submodules).It has been known for a long time ...
关键词:abelian quotients orbits of group actions linear groups 
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