Some properties of finite meadows
نویسندگان
چکیده
In abstract algebra, a field is a structure with total operations of addition, subtraction and multiplication. Moreover, every element has a multiplicative inverse—except 0. In a field, the rules hold which are familiar from the arithmetic of ordinary numbers. The prototypical example is the field of rational numbers. Fields can be specified by the axioms for commutative rings with identity element (CR, see Table 1), and the negative conditional formula
منابع مشابه
Cancellation Meadows: A Generic Basis Theorem and Some Applications
Let Q0 denote the rational numbers expanded to a ‘meadow’, that is, after taking its zero-totalized form (0−1 = 0) as the preferred interpretation. In this paper, we consider ‘cancellation meadows’, i.e. meadows without proper zero divisors, such as Q0 and prove a generic completeness result. We apply this result to cancellation meadows expanded with differentiation operators, the sign function...
متن کاملThe structure of finite meadows
A meadow is a commutative ring with a total inverse operator satisfying 0 = 0. We show that the class of finite meadows is the closure of the class of Galois fields under finite products. As a corollary, we obtain a unique representation of minimal finite meadows in terms of finite prime fields.
متن کاملThe Tensor Degree of a Pair of Finite Groups
In this paper, we study the tensor commutativity degree of pair of finite groups. Erdos introduced the relative commutativity degree and studied its properties. Then, Mr. Niroomand introduced the tensor relative commutativity degree, calculated tensor relative degree for some groups, and studied its properties. Also, he explained its relation with relative commutativity degree. In this paper, w...
متن کاملSOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP
Let G be a group. Recall that the intersection graph of subgroups of G is an undirected graph whose vertex set is the set of all nontrivial subgroups of G and distinct vertices H,K are joined by an edge in this graph if and only if the intersection of H and K is nontrivial. The aim of this article is to investigate the interplay between the group-theoretic properties of a finite group G and the...
متن کاملMeso-scale Modeling of Tension Analysis of Pure and Intra-ply Hybrid Woven Composites Using Finite Element Method
One of the key issues associated with using of composites in various applications is their tensile behavior. The tensile behavior of a composite material is strongly influenced by the properties of its constituents and their distribution. This paper focuses on gaining some insights into the tensile process of pure and hybrid woven composite reinforced with brittle and ductile yarns. For this pu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/0712.0917 شماره
صفحات -
تاریخ انتشار 2007