A BRANCH BOUND METHOD FOR SUBSET SUM PROBLEM

ＡＢＲＡＮＣＨＢＯＵＮＤＭＥＴＨＯＤＦＯＲＳＵＢＳＥＴＳＵＭＰＲＯＢＬＥＭＷＵＳＨＩＱＵＡＮ（吴士泉）（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ｔｈｅＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ，Ｂｅｉｊｉｎｇ１０００８０，Ｃ...     

MAXIMUM TREES OF SUBSETS

ＭＡＸＩＭＵＭＴＲＥＥＳＯＦＳＵＢＳＥＴＳＷｕＳｈｉｑｕａｎ（巫世权）（Ｉｎｓｔ．ｏｆＡｐｐｌ．Ｍａｔｈ．，ＣｈｉｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ，ＰＯＢｏｘ２７３４，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：ＬｅｔＸｂｅａｆ...     

On Saturated Models

ＯｎＳａｔｕｒａｔｅｄＭｏｄｅｌｓＣｈｅｎＧｕｏｌｏｎｇ（陈国龙）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＢｅｉｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ，１００８７５）ＣｏｍｍｕｎｉｃａｔｅｄｂｙＷａｎｇＳｈｉｑｉａｎｇＲｅｃｅｉｖｅｄＭａｒｃ...     

On Maximal Distance Separable Codes

ＯｎＭａｘｉｍａｌＤｉｓｔａｎｃｅＳｅｐａｒａｂｌｅＣｏｄｅｓ￥（万哲先，谢邦杰）ＷａｎＺｈｅｉｘａｎ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅ，Ｂｅｉｊｉｎｇ，１０００８０，Ｃｈｉｎａ）ａｎ...     

COLLISION AND MEETING OF STABLE PROCESSES

ＣＯＬＬＩＳＩＯＮＡＮＤＭＥＥＴＩＮＧＯＦＳＴＡＢＬＥＰＲＯＣＥＳＳＥＳ￥（骆顺龙）ＬｕｏＳｈｕｎｌｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ．）Ａｂｓｔｒ...     

Some New Results in Waring's Prblem

ＳｏｍｅＮｅｗＲｅｓｕｌｔｓｉｎＷａｒｉｎｇ’ｓＰｒｂｌｅｍＭｅｎｇＺａｉｚｈａｏ（蒙在照）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ，１００８７１）ＣｏｍｍｕｎｉｃａｔｅｄｂｙＰａｎＣｈｅｎｂ...     

Structures of Wey1 Groups of Some Kac-Moody Algebras

ＳｔｒｕｃｔｕｒｅｓｏｆＷｅｙ１ＧｒｏｕｐｓｏｆＳｏｍｅＫａｃ┐ＭｏｏｄｙＡｌｇｅｂｒａｓ＊）ＬｕＣａｉｈｕｉ（卢才辉）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＣａｐｉｔａｌＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ，１０００３７）Ｚ...     

Competition and Loeb к-Measure Spaces

ＣｏｍｐｅｔｉｔｉｏｎａｎｄＬｏｅｂк－ＭｅａｓｕｒｅＳｐａｃｅｓ￥ＷｕＫａｎｇｐｉｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＱｕａｕｔｉｔａｔｉｖｅＥｃｏｎｏｍｉｃｓｎｏｒｔｈＣｈｉｎａＵｎｉｂｅｎｓｉｔｙｏｆＴｅｃｈｎｏｌｏｇｙ，Ｂｅｉｊｉｎｇ１０００４１，Ｃ...     

A Proof of the Beyer and Stein Comjecture

ＡＰｒｏｏｆｏｆｔｈｅＢｅｙｅｒａｎｄＳｔｅｉｎＣｏｎｊｅｃｔｕｒｅＷａｎｇＬｉ（王理）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＢｅｉｊｉｎｇＰｏｌｙｔｅｃｈｎｉｃＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ，，１０００２２，Ｃｈｉｎａ）ＣｏｍｍｕｎｉｃａｔｅｄｂｙＷｅ...     

On the Complexity of the Julia Sets of Rational Functions

ＯｎｔｈｅＣｏｍｐｌｅｘｉｔｙｏｆｔｈｅＪｕｌｉａＳｅｔｓｏｆＲａｔｉｏｎａｌＦｕｎｃｔｉｏｎｓＱｉａｏＪｉａｎｙｏｎｇ（乔建永）（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ，１０００８０）Ｃｏｍｍｕｎ...     

Galois Theory for Multiplier Hopf Algebras with Integrals

In this paper, we introduce a generalized Hopf Galois theory for regular multiplier Hopf algebras with integrals, which might be viewed as a generalization of the Hopf Galois theory of finite-dimensional Hopf algebras. We introduce the notion of a coaction of a multiplier Hopf algebra on an algebra. We show that there is a duality for actions and coactions of multiplier Hopf algebras with integrals. In order to study the Galois (co)action of a multiplier Hopf algebra with an integral, we construct a Morita context connecting the smash product and the coinvariants. A Galois (co)action can be characterized by certain surjectivity of a canonical map in the Morita context. Finally, we apply the Morita theory to obtain the duality theorems for actions and coactions of a co-Frobenius Hopf algebra.     

Hopf代数余作用

对于Ｈｏｐｆ代数Ｈ上的余模代数Ａ,当Ｈ是有限维或幺模（ｕｎｉｍｏｄｕｌａｒ）时,存在由交叉积Ａ＃Ｈ^＊ｒａｔ和余不变子代数Ａ^ｃｏＨ构成的Ｍｏｒｉｔａ Ｃｏｎｔｅｘｔ．本文论证了对于任意的Ｈｏｐｆ代数Ｈ,结果仍是成立的     

Morita theory in deformation quantization

Various aspects of Morita theory of deformed algebras and in particular of star product algebras on general Poisson manifolds are discussed. We relate the three flavours ring-theoretic Morita equivalence, *-Morita equivalence, and strong Morita equivalence and exemplify their properties for star product algebras. The complete classification of Morita equivalent star products on general Poisson manifolds is discussed as well as the complete classification of covariantly Morita equivalent star products on a symplectic manifold with respect to some Lie algebra action preserving a connection.     

Morita context,partial Hopf Galois extensions and partial entwining structure

We first introduce the notion of a right generalized partial smash product and explore some properties of such partial smash product. Based on these notions and properties, then we construct a Morita context for partial coactions of a co-Frobenius Hopf algebra. Finally, we prove that any Hopf partial Galois extension induces a unique partial entwining map compatible with the right partial coaction.     

A Morita Context and Galois Extensions for Quasi-Hopf Algebras

If H is a finite dimensional quasi-Hopf algebra and A is a left H-module algebra, we show that there is a Morita context connecting the smash product A#H and the subalgebra of invariants A ^H . We define also Galois extensions and prove the connection with this Morita context, as in the Hopf case.     

Gorenstein-Projective Modules over Morita Rings

Let △(φ,ψ) =(A BMA ANBB) be a Morita ring which is an Artin algebra.In this paper we investigate the relations between the Gorenstein-projective modules over a Morita ring △(φ,ψ) and the algebras A and B.We prove that if △(φ,ψ) is a Gorenstein algebra and both MA and AN (resp.,both NB and BM) have finite projective dimension,then A (resp.,B) is a Gorenstein algebra.We also discuss when the CM-freeness and the CM-finiteness of a Morita ring △(φ,ψ) is inherited by the algebras A and B.     

INVARIANTS UNDER STABLE EQUIVALENCES OF MORITA TYPE

The aim of this article is to study some invariants of associative algebras under stable equivalences of Morita type.First of all,we show that,if two finite-dimensional selfinjective k-algebras are sta...     

Morita Endomorphism Algebras of Generators

We provide a characterization for the endomorphism algebra of a generator to be a Morita algebra. As an application, n-Auslander algebras which are Morita algebras simultaneously are characterized.     

On Derived Unique Gentle Algebras

An algebra A is called derived-unique provided that any algebra which is derived equivalent to A is necessarily Morita equivalent to A. We classify derived-unique gentle algebras with at most one cycle using the combinatorial invariant introduced by Avella-Alaminos and Geiss.     

A semiprime morita context related to finite automorphism groups of rings

A Morita context relating the fixed ring and the skew group ring introduced by M. Cohen is studied. If the skew group ring is semiprime andR ^G satisfied a PI, thenR satisfies a PI of degree ≦|G|d. We also discuss the Galois correspondence for the maximal quotient ring of a free algebra.