Automorphisms of categories of free algebras of varieties

被引：25
|
作者：
Mashevitzky, G [1 ]
Plotkin, B
Plotkin, E
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
[3] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
来源：
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 8卷
关键词：
algebraic variety; variety of algebras; category; free algebra; automorphisms;
D O I：
10.1090/S1079-6762-02-00099-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：1 / 10
页数：10
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