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A remark on nonfinitely based semirings

✍ Scribed by Igor Dolinka

Publisher
Springer
Year
2008
Tongue
English
Weight
244 KB
Volume
78
Category
Article
ISSN
0037-1912

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πŸ“œ SIMILAR VOLUMES

On Finitely Based Groups and Nonfinitely
On Finitely Based Groups and Nonfinitely Based Quasivarieties
✍ John Lawrence; Ross Willard πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 171 KB

We define the notion of strictly finitely based varieties of groups and determine which finite groups are strictly finitely based. Then we use this result to prove the existence of "very nonfinitely based" finite algebras, thereby solving two open problems in the theory of quasivarieties.