Monoids of O-type, subword reversing, and ordered groups
نویسندگان
چکیده
منابع مشابه
Monoids of O-type, Subword Reversing, and Ordered Groups
We describe a simple scheme for constructing finitely generated monoids in which left-divisibility is a linear ordering and for practically investigating these monoids. The approach is based on subword reversing, a general method of combinatorial group theory, and connected with Garside theory, here in a non-Noetherian context. As an application we describe several families of ordered groups wh...
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We summarize the main known results involving subword reversing, a method of semigroup theory for constructing van Kampen diagrams by referring to a preferred direction. In good cases, the method provides a powerful tool for investigating presented (semi)groups. In particular, it leads to cancellativity and embeddability criteria for monoids and to efficient solutions for the word problem of mo...
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2014
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgt-2013-0049