A certain variety of non-switched polynomials provides a uni-figure representation for a wide range of linear functional equations. This is properly adapted for the calculations. We reinterpret from this point of view...
the National Natural Science Foundation of China(Grant No.11901545).
We prove Auslander’s defect formula in an exact category,and obtain a commutative triangle involving the Auslander bijections and the generalized Auslander Reiten duality.
Supported by the National Natural Science Foundation of China(Grant No.11771129).
Let Z>be a principal ideal domain(PID)and M be a module over D.We prove the following two dual results:(i)If M is finitely generated and rr,y are two elements in M such that M/Dx≌M/Dy,then there exists an auto morphi...
The aim of this paper is to investigate the superstability problem for the pexiderized trigonometric functional equation∑ v∈Φ∫Kf(xkv(y)k^-1)dwK(k)= Φ g(x)h(y), x, y ∈ G,where G is any topological group...
For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F' is the trivial group. We prove the existence of various i...
supported by the Guangxi Natural Science Foundation(No.2011GXNSFA018127)
f-Harmonic maps were first introduced and studied by Lichnerowicz in 1970.In this paper,the author studies a subclass of f-harmonic maps called f-harmonic morphisms which pull back local harmonic functions to local f-...
Supported by the Natural Science Foundation of Fujian Province (Grant No. 2009J01003);the Foundation of Fujian Normal University (Grant No. 2008100209);partially by the Open Funds of Key Lab of Fujian Province University Network Security and Cryptology (Grant No. 09A004)
In a pushout-pullback diagram, which consists of four morphisms f : A → B, g : A → C, α : C → D and β : B → D, we give some relations among the covers of these four modules. If ker f∈I( ), then g : A → ...
Automata theory has played an important role in theoretical computer science since last couple of decades. The alge-braic automaton has emerged with several modern applications, for example, optimization of programs, ...
the National-Natural Science Foundation of China (No. 10331010); the Natural Science Foundation of Fujian Province of China (No, 2006J0221).
In the present paper the properties of morphisms in effect algebras are discussed. The conditions for the morphisms in effect algebras to be join-preservation and meet-preservation are given. From the categorical poin...
Automata theory has played an important role in computer science and engineering particularly modeling behavior of systems since last couple of decades. The algebraic automaton has emerged with several modern applicat...