Algebraic lattices and locally finitely presentable categories
type: Item
instance of: scholarly article
title: Algebraic lattices and locally finitely presentable categories
zbMATH Open document ID: 1220.08001
author: Hans-E. Porst
published in: Algebra Universalis
publication date: 2011-06-01T00:00:00Z
review text: Lattices of subobjects and lattices of quotients are ubiquitous in universal algebra and their basic property is that they are algebraic. The author extends this fact from varieties of universal algebras to locally finitely presentable categories. These categories correspond to varieties of partial algebras where definition domains of partial operations are given by equations in previous operations. This generalization is illustrated by natural examples.
reviewed by: Jiří Rosický
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 08A55
Mathematics Subject Classification ID: 08B15
Mathematics Subject Classification ID: 18C35
zbMATH DE Number: 5902946
zbMATH Keywords: algebraic lattice
zbMATH Keywords: locally finitely presentable category
zbMATH Keywords: subobject
zbMATH Keywords: quotient
MaRDI profile type: Publication
full work available at URL: s00012-011-0129-0
OpenAlex ID: W2127249478
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DOI: 10.1007/S00012-011-0129-0
description: scientific article; zbMATH DE number 5902946