论文标题
关于复合材料和单体域的特性
On properties of composites and monoid domains
论文作者
论文摘要
在本文中，我考虑了多项式复合材料和MONOID结构域的交换代数的所有可能特性。目的是对这些结构的充分表征。我首先检查群体，环，模块特性，分级，以及对这些结构中可逆元素，不可还原元素，理想等的研究。在工作的第二部分中，我举例说明了在密码学中使用复合材料和单粒域。每个这样的多项式都是变量和系数的产物的总和。如果随后的系数集是适当的加密系统，该怎么办？同样，单体域可以是加密和解密消息之间的一个非常好的工具。
In this paper I consider all possible properties from commutative algebra for polynomial composites and monoid domains. The aim is full characterization of these structures. I start with the examination of group, ring, modules properties, graded, but also the study of invertible elements, irreducible elements, ideals, etc. in these structures. In the second part of the work I give examples of the use of composites and monoid domains in cryptology. Each such polynomial is the sum of the products of the variable and the coefficient. And what if subsequent coefficient sets are appropriate cryptographic systems? Similarly, monoid domains can be a very good tool between encrypting and decrypting messages.
