Separable frobenius algebras and completely distributive categories

可分离的弗罗贝尼乌斯代数和完全分配范畴

• 批准号: 5161-2011
• 负责人: Wood, Richard
• 金额: $ 0.73万
• 依托单位: Dalhousie University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=520775
• 关键词: Separable; frobenius; algebras; completely; distributive

In many applications of mathematics, there are objects of interest related to each other by functions or some generalization thereof. To understand the objects, observations and measurements are made of some real or complex quantities associated with some attributes of the objects. Calculations with such numbers and deductions with such variables lead to equations whose mathematical solution expands knowledge of the system. The passage from the objects of interest to a selection of quantities associated with a selection of attributes is manifestly an abstraction. Some information, one hopes only irrelevant information, is lost.

在数学的许多应用中，存在通过函数或其某种概括而彼此相关的感兴趣的对象。为了理解物体，观察和测量是对与物体的某些属性相关的一些真实或复杂的数量进行的。对这些数字的计算和对这些变量的推导得出方程，其数学解扩展了系统的知识。从感兴趣的对象到与属性选择相关的数量选择的过渡显然是一种抽象。一些信息（人们希望只是不相关的信息）丢失了。