Geodesic
Automorphisms of categories of free algebras of varieties
Mashevitzky, G.1 ; Plotkin, B.2 ; Plotkin, E.3
1 Department of Mathematics, Ben Gurion University of the Negev, 84105, Israel
2 Institute of Mathematics, The Hebrew University, Jerusalem, 91904, Israel
3 Department of Mathematics, Bar Ilan University, Ramat Gan, 52900, Israel
Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 1-10 Cet article a éte moissonné depuis la source American Mathematical Society

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Let $\Theta$ be an arbitrary variety of algebras and let $\Theta ^0$ be the category of all free finitely generated algebras from $\Theta$. We study automorphisms of such categories for special $\Theta$. The cases of the varieties of all groups, all semigroups, all modules over a noetherian ring, all associative and commutative algebras over a field are completely investigated. The cases of associative and Lie algebras are also considered. This topic relates to algebraic geometry in arbitrary variety of algebras $\Theta$.
DOI : 10.1090/S1079-6762-02-00099-9

Mashevitzky, G. 1 ; Plotkin, B. 2 ; Plotkin, E. 3

1 Department of Mathematics, Ben Gurion University of the Negev, 84105, Israel
2 Institute of Mathematics, The Hebrew University, Jerusalem, 91904, Israel
3 Department of Mathematics, Bar Ilan University, Ramat Gan, 52900, Israel 
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Mashevitzky, G.; Plotkin, B.; Plotkin, E. Automorphisms of categories of free algebras of varieties. Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 1-10. doi: 10.1090/S1079-6762-02-00099-9

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