Multisorted modules and their model theory

Michael Prest

Multisorted modules and their model theory

Michael Prest

Pure Mathematics

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

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Abstract

Multisorted modules, equivalently representations of quivers, equivalently additive functors on preadditive categories, encompass a wide variety of additive structures. In addition, every module has a natural and useful multisorted extension by imaginaries. The model theory of multisorted modules works just as for the usual, 1-sorted modules. A number of examples are presented, some in considerable detail.

Original language	English
Title of host publication	Contemporary Mathematics
Subtitle of host publication	Model Theory of Modules, Algebras and Categories
Volume	730
Publication status	Published - 2019
Event	International Conference on Model Theory of Modules, Algebras and Categories - Erice, Italy Duration: 28 Jul 2017 → 2 Aug 2017

Conference

Conference	International Conference on Model Theory of Modules, Algebras and Categories
Country/Territory	Italy
City	Erice
Period	28/07/17 → 2/08/17

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PrestEriceRev (2) (002)Accepted author manuscript, 443 KB

https://bookstore.ams.org/conm-730/

Cite this

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title = "Multisorted modules and their model theory",

abstract = "Multisorted modules, equivalently representations of quivers, equivalently additive functors on preadditive categories, encompass a wide variety of additive structures. In addition, every module has a natural and useful multisorted extension by imaginaries. The model theory of multisorted modules works just as for the usual, 1-sorted modules. A number of examples are presented, some in considerable detail.",

author = "Michael Prest",

year = "2019",

language = "English",

isbn = "9781470443672",

volume = "730",

booktitle = "Contemporary Mathematics",

note = "International Conference on Model Theory of Modules, Algebras and Categories ; Conference date: 28-07-2017 Through 02-08-2017",

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AU - Prest, Michael

PY - 2019

Y1 - 2019

N2 - Multisorted modules, equivalently representations of quivers, equivalently additive functors on preadditive categories, encompass a wide variety of additive structures. In addition, every module has a natural and useful multisorted extension by imaginaries. The model theory of multisorted modules works just as for the usual, 1-sorted modules. A number of examples are presented, some in considerable detail.

AB - Multisorted modules, equivalently representations of quivers, equivalently additive functors on preadditive categories, encompass a wide variety of additive structures. In addition, every module has a natural and useful multisorted extension by imaginaries. The model theory of multisorted modules works just as for the usual, 1-sorted modules. A number of examples are presented, some in considerable detail.

M3 - Conference contribution

SN - 9781470443672

VL - 730

BT - Contemporary Mathematics

T2 - International Conference on Model Theory of Modules, Algebras and Categories

Y2 - 28 July 2017 through 2 August 2017

ER -

Multisorted modules and their model theory

Abstract

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