Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/160272
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- Title
- Notions of Lawvere theory
- Related
- Applied categorical structures, Vol. 19, Issue 1, (2011), p.363-391
- DOI
- 10.1007/s10485-009-9215-2
- Publisher
- Springer
- Date
- 2011
- Author/Creator
- Lack, Stephen
- Author/Creator
- Rosický, Jiří
- Description
- Categorical universal algebra can be developed either using Lawvere theories (single-sorted finite product theories) or using monads, and the category of Lawvere theories is equivalent to the category of finitary monads on Set. We show how this equivalence, and the basic results of universal algebra, can be generalized in three ways: replacing Set by another category, working in an enriched setting, and by working with another class of limits than finite products.
- Description
- 29 page(s)
- Subject Keyword
- Enriched category
- Subject Keyword
- Lawvere theory
- Subject Keyword
- Locally presentable category
- Subject Keyword
- Monad
- Subject Keyword
- Sifted colimit
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Mathematics
- Identifier
- http://hdl.handle.net/1959.14/160272
- Identifier
- ISSN:0927-2852
- Identifier
- mq_res-20120315-122356
- Language
- eng
- Reviewed
