A General Principle of Isomorphism: Determining Inverses
| Autor: | Vladimir S. Kulabukhov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics and Astronomy (miscellaneous)
the principle of relativity in algebra observability General Mathematics checkability 0211 other engineering and technologies 02 engineering and technology system controllability Matrix (mathematics) system effect (emergence) 0203 mechanical engineering Simple (abstract algebra) integration of systems 021105 building & construction Computer Science (miscellaneous) Observability mapping Commutative property Mathematics lcsh:Mathematics lcsh:QA1-939 Algebra Controllability 020303 mechanical engineering & transports realization theorem Chemistry (miscellaneous) Principle of relativity the principle of isomorphism identifiability of systems Isomorphism Realization (systems) |
| Zdroj: | Symmetry, Vol 11, Iss 10, p 1301 (2019) Symmetry Volume 11 Issue 10 |
| ISSN: | 2073-8994 |
| Popis: | The problem of determining inverses for maps in commutative diagrams arising in various problems of a new paradigm in algebraic system theory based on a single principle&mdash the general principle of isomorphism is considered. Based on the previously formulated and proven theorem of realization, the rules for determining the inverses for typical cases of specifying commutative diagrams are derived. Simple examples of calculating the matrix maps inverses, which illustrate both the derived rules and the principle of relativity in algebra based on the theorem of realization, are given. The examples also illustrate the emergence of new properties (emergence) in maps in commutative diagrams modeling (realizing) the corresponding systems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
| Nepřihlášeným uživatelům se plný text nezobrazuje | K zobrazení výsledku je třeba se přihlásit. |