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Titlebook: Combinatorial Algebra: Syntax and Semantics; Mark V. Sapir Textbook 2014 Springer International Publishing Switzerland 2014 Burnside-type

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What Are Real JSON Schemas Like?Semigroup presentations and identities provide “syntactic tools” to analyze the structure of semigroups. In this chapter, we start by presenting the “semantic tools”, main building blocks of semigroups. We also present some results showing how a semigroup can be constructed from these building blocks.
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Main Definitions and Basic Facts,al) algebras, varieties, free algebras (including free semigroups and groups) and subshifts. We also introduce the main properties of algebras that we are interested in: the Burnsideproperty, the finite basis property, properties of the growth function and the growth series, etc.
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Lecture Notes in Computer Scienceal) algebras, varieties, free algebras (including free semigroups and groups) and subshifts. We also introduce the main properties of algebras that we are interested in: the Burnsideproperty, the finite basis property, properties of the growth function and the growth series, etc.
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Advances in Conceptual Modeling van Kampen diagrams and explaining basic methods of using them: the bands, the Swiss cheese method and the small cancelation theory. Then we explain Golod’s solution of the unbounded Burnside problem and a road map of Olshanskii’s proof of the Novikov–Adian theorem solving the bounded Burnside prob
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