Logic in representations of groups

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• 作者：E. V. Aladova (1) aladovael@mail.ru
  A. Gvaramiya (2) agvaramia@mail.ru
  B. Plotkin (3) plotkin@macs.biu.ac.il
• 关键词：representations of groups &#8211 ; invariants of representations
• 刊名：Algebra and Logic
• 出版时间：March 2012
• 出版年：2012
• 期刊代码：2_00025232
• 类别：mat
• 卷：51
• 期：1
• 页码：1-27
• 数据来源：sp

摘要

Let K be a commutative and associative ring with unit. We consider representations of groups over K from the viewpoint of some logic. In particular, different logical invariants of representations, as well as relations between the various representations corresponding to the invariants, are studied. One of the basic relations is isotypeness. Here we use the concept of a type adopted in model theory. This paper adjoins [11], where similar results were derived for one-sorted algebras.