Matches in SemOpenAlex for { <https://semopenalex.org/work/W3090420193> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W3090420193 endingPage "012005" @default.
- W3090420193 startingPage "012005" @default.
- W3090420193 abstract "We give an elementary proof of the preservation of the Noetherian condition for commutative rings with unity R having at least one finitely generated ideal I such that the quotient ring is again finitely generated, and R is I—adically complete. Moreover, we offer as a direct corollary a new elementary proof of the fact that if a ring is Noetherian then the corresponding ring of formal power series in finitely many variables is Noetherian. Furthermore, we discuss the potential applications that this new elementary proof possesses regarding the simplification of conceptual generations in mathematics and computational physics based on the new computational paradigm of Artificial Mathematical Intelligence. In addition, we give a counterexample showing that the 'completion' condition cannot be avoided on the former theorem. Lastly, we give an elementary characterization of Noetherian commutative rings that can be decomposed as a finite direct product of fields." @default.
- W3090420193 created "2020-10-08" @default.
- W3090420193 creator A5008092153 @default.
- W3090420193 creator A5012080766 @default.
- W3090420193 creator A5084359818 @default.
- W3090420193 date "2020-09-01" @default.
- W3090420193 modified "2023-10-18" @default.
- W3090420193 title "Elementary preservation of the Noetherian condition and the potential applications in computational physics" @default.
- W3090420193 cites W1538938802 @default.
- W3090420193 cites W1977024120 @default.
- W3090420193 cites W1992171261 @default.
- W3090420193 cites W1994808441 @default.
- W3090420193 cites W2014734763 @default.
- W3090420193 cites W2017658688 @default.
- W3090420193 cites W2055287268 @default.
- W3090420193 cites W2078869798 @default.
- W3090420193 cites W2088606977 @default.
- W3090420193 cites W2104060380 @default.
- W3090420193 cites W2895391541 @default.
- W3090420193 cites W597691298 @default.
- W3090420193 cites W950280059 @default.
- W3090420193 doi "https://doi.org/10.1088/1742-6596/1645/1/012005" @default.
- W3090420193 hasPublicationYear "2020" @default.
- W3090420193 type Work @default.
- W3090420193 sameAs 3090420193 @default.
- W3090420193 citedByCount "0" @default.
- W3090420193 crossrefType "journal-article" @default.
- W3090420193 hasAuthorship W3090420193A5008092153 @default.
- W3090420193 hasAuthorship W3090420193A5012080766 @default.
- W3090420193 hasAuthorship W3090420193A5084359818 @default.
- W3090420193 hasBestOaLocation W30904201931 @default.
- W3090420193 hasConcept C111472728 @default.
- W3090420193 hasConcept C118615104 @default.
- W3090420193 hasConcept C136119220 @default.
- W3090420193 hasConcept C138885662 @default.
- W3090420193 hasConcept C142109727 @default.
- W3090420193 hasConcept C151492637 @default.
- W3090420193 hasConcept C156923205 @default.
- W3090420193 hasConcept C161491579 @default.
- W3090420193 hasConcept C162838799 @default.
- W3090420193 hasConcept C170320730 @default.
- W3090420193 hasConcept C178790620 @default.
- W3090420193 hasConcept C183778304 @default.
- W3090420193 hasConcept C185592680 @default.
- W3090420193 hasConcept C202444582 @default.
- W3090420193 hasConcept C2776639384 @default.
- W3090420193 hasConcept C2777478746 @default.
- W3090420193 hasConcept C2779057376 @default.
- W3090420193 hasConcept C2780012671 @default.
- W3090420193 hasConcept C2780378348 @default.
- W3090420193 hasConcept C33923547 @default.
- W3090420193 hasConcept C36185835 @default.
- W3090420193 hasConcept C62799726 @default.
- W3090420193 hasConcept C80884492 @default.
- W3090420193 hasConceptScore W3090420193C111472728 @default.
- W3090420193 hasConceptScore W3090420193C118615104 @default.
- W3090420193 hasConceptScore W3090420193C136119220 @default.
- W3090420193 hasConceptScore W3090420193C138885662 @default.
- W3090420193 hasConceptScore W3090420193C142109727 @default.
- W3090420193 hasConceptScore W3090420193C151492637 @default.
- W3090420193 hasConceptScore W3090420193C156923205 @default.
- W3090420193 hasConceptScore W3090420193C161491579 @default.
- W3090420193 hasConceptScore W3090420193C162838799 @default.
- W3090420193 hasConceptScore W3090420193C170320730 @default.
- W3090420193 hasConceptScore W3090420193C178790620 @default.
- W3090420193 hasConceptScore W3090420193C183778304 @default.
- W3090420193 hasConceptScore W3090420193C185592680 @default.
- W3090420193 hasConceptScore W3090420193C202444582 @default.
- W3090420193 hasConceptScore W3090420193C2776639384 @default.
- W3090420193 hasConceptScore W3090420193C2777478746 @default.
- W3090420193 hasConceptScore W3090420193C2779057376 @default.
- W3090420193 hasConceptScore W3090420193C2780012671 @default.
- W3090420193 hasConceptScore W3090420193C2780378348 @default.
- W3090420193 hasConceptScore W3090420193C33923547 @default.
- W3090420193 hasConceptScore W3090420193C36185835 @default.
- W3090420193 hasConceptScore W3090420193C62799726 @default.
- W3090420193 hasConceptScore W3090420193C80884492 @default.
- W3090420193 hasLocation W30904201931 @default.
- W3090420193 hasOpenAccess W3090420193 @default.
- W3090420193 hasPrimaryLocation W30904201931 @default.
- W3090420193 hasRelatedWork W1480664878 @default.
- W3090420193 hasRelatedWork W1510183621 @default.
- W3090420193 hasRelatedWork W1964090659 @default.
- W3090420193 hasRelatedWork W1981038532 @default.
- W3090420193 hasRelatedWork W2006449303 @default.
- W3090420193 hasRelatedWork W2107940037 @default.
- W3090420193 hasRelatedWork W2556441872 @default.
- W3090420193 hasRelatedWork W2753891926 @default.
- W3090420193 hasRelatedWork W3026024203 @default.
- W3090420193 hasRelatedWork W3159738251 @default.
- W3090420193 hasVolume "1645" @default.
- W3090420193 isParatext "false" @default.
- W3090420193 isRetracted "false" @default.
- W3090420193 magId "3090420193" @default.
- W3090420193 workType "article" @default.