TL;DR
This paper explores different forms of semantic and syntactic rigidity in structures, analyzing their degrees and variations across languages and operations, to deepen understanding of structural invariance.
Contribution
It introduces a comprehensive study of rigidity variations and degrees in structures, including special languages and natural operations, expanding theoretical understanding.
Findings
Identifies different degrees of rigidity in structures.
Analyzes rigidity variations in specific languages.
Examines effects of natural operations on rigidity.
Abstract
We study possibilities for semantic and syntactic rigidity, i.e., the rigidity with respect to automorphism group and with respect to definable closure. Variations of rigidity and their degrees are studied in general case, for special languages and for some natural operations with structures.
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Taxonomy
TopicsAdvanced Algebra and Logic · semigroups and automata theory · Rings, Modules, and Algebras