Monoids and Groups of I-Type

被引：0
作者：
Eric Jespers
Jan Okniński
机构：
[1] Vrije Universiteit Brussel,Department of Mathematics
[2] Warsaw University,Institute of Mathematics
来源：
Algebras and Representation Theory | 2005年 / 8卷
关键词：
monoids; groups; -type; group ring; Yang–Baxter equation; prime ideal;
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摘要：
A monoid S generated by {x1,. . .,xn} is said to be of (left) I-type if there exists a map v from the free Abelian monoid FaMn of rank n generated by {u1,. . .,un} to S so that for all a∈FaMn one has {v(u1a),. . .,v(una)}={x1v(a),. . .,xnv(a)}. Then S has a group of fractions, which is called a group of (left) I-type. These monoids first appeared in the work of Gateva-Ivanova and Van den Bergh, inspired by earlier work of Tate and Van den Bergh.
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页码：709 / 729
页数：20
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