森田六元组的几乎分裂序列

令ΛA_1,Λ_2为两个环,M是(A_2-Λ_1)-双模,且N是(Λ_1-Λ_2)-双模.六元组Γ=(Λ_1,Λ_2,N,M,ψ,φ)是一个森田六元组.对于Γ的表示,确定其几乎分裂序列(也称AR-序列)是非常重要的.通过modΛ_1和modΛ_2的右(左)几乎分裂同态、既约同态构造Γ上的相应同态,并进一步确定它的几乎分裂序列.     

多种资本投入的一般增长模型

本文在Solow模型的基础上,讨论了多种资本投入这种更一般的情况,运用单调动力系统原理论让了此模型的全局稳定性,并得出了这种经济的收敛速度。     

A New Functor from E 6-mod to E 7-mod

We find a new representation of the simple Lie algebra of type E ₇ on the polynomial algebra in 27 variables. Using this representation and Shen's idea of mixed product, we construct a new functor from E ₆-Mod to E ₇-Mod. A condition for the functor to map a finite-dimensional irreducible E ₆-module to an infinite-dimensional irreducible E ₇-module is obtained. Our general framework also gives a direct polynomial extension from irreducible E ₆-modules to irreducible E ₇-modules, which can be used to derive Gel'fand–Zetlin bases for E ₇ from those for E ₆ that can be obtained from those for D ₅ according to our earlier work.     

Nonsolvable Normal Subgroups with Few Induced Character Degrees

In this note, we classify the finite groups admitting a nonsolvable normal subgroup with three induced irreducible character degrees.     

Feasibility in reverse convex mixed-integer programming

In this paper we address the problem of the infeasibility of systems defined by reverse convex inequality constraints, where some or all of the variables are integer. In particular, we provide a polynomial algorithm that identifies a set of all constraints critical to feasibility (CF), that is constraints that may affect a feasibility status of the system after some perturbation of the right-hand sides. Furthermore, we will investigate properties of the irreducible infeasible sets and infeasibility sets, showing in particular that every irreducible infeasible set as well as infeasibility sets in the considered system, are subsets of the set CF of constraints critical to feasibility.