Logic in representations of groups

E. V. Aladova; A. Gvaramiya; B. Plotkin

doi:10.1007/s10469-012-9167-8

Logic in representations of groups

E. V. Aladova, A. Gvaramiya, B. Plotkin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1-27
Number of pages	27
Journal	Algebra and Logic
Volume	51
Issue number	1
DOIs	https://doi.org/10.1007/s10469-012-9167-8
State	Published - Mar 2012

Bibliographical note

Funding Information:
∗Supported by the Minerva Foundation through the Emmy Noether Research Institute. ∗∗Supported by the Israel Science Foundation (grant No. 1178/06). ∗∗∗Supported by ISF Center (grant No. 1691/10).

Funding

∗Supported by the Minerva Foundation through the Emmy Noether Research Institute. ∗∗Supported by the Israel Science Foundation (grant No. 1178/06). ∗∗∗Supported by ISF Center (grant No. 1691/10).

Funders	Funder number
ISF Center	1691/10
Israel Science Foundation	1178/06

Keywords

invariants of representations
representations of groups

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10.1007/s10469-012-9167-8

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Logic in representations of groups

Abstract

Bibliographical note

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Keywords

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