منابع مشابه
On the Direct Sum Conjecture in the Straight Line Model
We prove that if a quadratic system satisses the direct sum conjecture strongly in the quadratic algorithm model, then it satisses the direct sum conjecture strongly in the straight line algorithm model. Therefore, if the strong direct sum conjecture is true for the quadratic algorithm model then it is also true for the straight line algorithm model. We use this to classify all the minimal prog...
متن کاملOn Bialostocki’s Conjecture for Zero-sum Sequences
A finite sequence S of terms from an (additive) abelian group is said to have zero-sum if the sum of the terms of S is zero. In 1961 P. Erdős, A. Ginzburg and A. Ziv [3] proved that any sequence of 2n− 1 terms from an abelian group of order n contains an n-term zero-sum subsequence. This celebrated EGZ theorem is is an important result in combinatorial number theory and it has many different ge...
متن کاملOn Direct Sum of Branches in Hyper BCK-algebras
In this paper, the notion of direct sum of branches in hks is introduced and some related properties are investigated. Applying this notion to lower hyper $BCK$-semi lattice, a necessary condition for a hi to be prime is given. Some properties of hkc are studied. It is proved that if $H$ is a hkc and $[a)$ is finite for any $ain H$, then $mid Aut(H)mid=1$.
متن کاملZero - Sum Problems and Snevily ’ S Conjecture
This is a survey of recent advances on zero-sum problems and Snevily’s conjecture concerning finite abelian groups. In particular, we will introduce Reiher’s recent solution to the Kemnitz conjecture and our simplification. 1. On Zero-sum Problems The theory of zero-sums began with the following celebrated theorem. The Erdős-Ginzburg-Ziv Theorem [Bull. Research Council. Israel, 1961]. For any c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1984
ISSN: 0024-3795
DOI: 10.1016/0024-3795(84)90143-5