It is proved that every polytope in a real vector space is an asymptotic ( r , ) -approximate group, that every finite set of lattice points is an asymptotic ( r , ) -approximate group, and that every finite subset of every abelian group is an asymptotic ( r , ) -approximate group....
We call a subset $A$ of the (additive) abelian group $G$ {\it $t$-independent} if for all non-negative integers $h$ and $k$ with $h+k \leq t$, the sum of $h$ (not necessarily distinct) elements of $A$ does not equal the sum of $k$ (not necessarily distinct) elements ...
A subset A of a given finite abelian group G is called (k,l)-sum-free if the sum of k (not necessarily distinct) elements of A does not equal the sum of l (not necessarily distinct) elements of A. We are interested in finding the maximum size u03bbk,l(G) of a (k,l)-sum-...
摘要: Let be a finite abelian group and be a subset of . Let denote the set of group elements which can be expressed as a sum of a nonempty subset of . We say that is zero-sum free if . In this talk, we introduce the problem of determining the provided that is a zero-sum free...
group:商群 cancellation property:消去律 finite group:有限(阶)群 symmetric group:对称群 alternating group:交替群 coset:陪集 normal subgroup:正规(不变)子群 free semigroup generated by A:由 A 生成的自由半群 Abelian group:交换(阿贝尔)群 multiplication table:运算表 order of a group:群的阶 subgroup...
This thesis focuses on the algebraic structures of partial Abeliansemigroups and difference sets, which were introduced ten years before, and theoperation continuity of a class of important quantum logics. 本文研究了近十多年来发展起来的部分Abelian半群、差分集的代数结构,和一类重要量子逻辑结构的运算...
A cofinite group is a discrete group $\\\Gamma\\\subsetext{PSL}... DA Popov 被引量: 2发表: 2015年 HARTSHORNE'S QUESTIONS AND WEAKLY COFINITENESS In addition, we show that the category of all a-weakly cofinite FD <= 1 R-modules is an Abelian subcategory of the category of all R...
the form (2) h ′ (S) = T⊆N f T g S∆T , where S∆T = (S \ T) ∪ (T \ S) , the Fourier approach immediately yields an evaluation approach requiring O(n2 n ) ring operations via the fast Fourier transform on Z n 2 , the elementary Abelian group of order 2 n ....
A subset A of a given finite abelian group G is called (k,l)-sum-free if the sum of k (not necessarily distinct) elements of A does not equal the sum of l (not necessarily distinct) elements of A. We are interested in finding the maximum size λk,l(G) of a (k,l)-sum-free...
A subset A of a given finite abelian group G is called (k,l)-sum-free if the sum of k (not necessarily distinct) elements of A does not equal the sum of l (not necessarily distinct) elements of A. We are interested in finding the maximum size λk,l(G) of a (k,l)-sum-free...