Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964335362> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2964335362 endingPage "272" @default.
- W2964335362 startingPage "245" @default.
- W2964335362 abstract "Motivated by the Mathieu conjecture (Mathieu, 1997 [M]), the image conjecture (Zhao, 2010 [Z3]) and the well-known Jacobian conjecture (Keller, 1939 [K]; see also Bass et al., 1982 [BCW] and van den Essen, 2000 [E1]), the notion of Mathieu subspaces as a natural generalization of the notion of ideals has been introduced recently in Zhao (2010) [Z4] for associative algebras. In this paper, we first study algebraic elements in the radicals of Mathieu subspaces of associative algebras over fields and prove some properties and characterizations of Mathieu subspaces with algebraic radicals. We then give some characterizations or classifications for strongly simple algebras (the algebras with no non-trivial Mathieu subspaces) over arbitrary commutative rings, and for quasi-stable algebras (the algebras all of whose subspaces that do not contain the identity element of the algebra are Mathieu subspaces) over arbitrary fields. Furthermore, co-dimension one Mathieu subspaces and the minimal non-trivial Mathieu subspaces of the matrix algebras over fields are also completely determined." @default.
- W2964335362 created "2019-07-30" @default.
- W2964335362 creator A5070925864 @default.
- W2964335362 date "2012-01-01" @default.
- W2964335362 modified "2023-10-09" @default.
- W2964335362 title "Mathieu subspaces of associative algebras" @default.
- W2964335362 cites W1782528665 @default.
- W2964335362 cites W1965745988 @default.
- W2964335362 cites W2005435368 @default.
- W2964335362 cites W2023989165 @default.
- W2964335362 cites W2035280681 @default.
- W2964335362 cites W2036453561 @default.
- W2964335362 cites W2048258572 @default.
- W2964335362 cites W2071987506 @default.
- W2964335362 cites W2078486315 @default.
- W2964335362 cites W2081461845 @default.
- W2964335362 cites W2113547185 @default.
- W2964335362 cites W2122814832 @default.
- W2964335362 cites W2161744102 @default.
- W2964335362 cites W2295682214 @default.
- W2964335362 cites W2963394288 @default.
- W2964335362 cites W2963897276 @default.
- W2964335362 cites W2964036411 @default.
- W2964335362 cites W3100234087 @default.
- W2964335362 cites W4205979811 @default.
- W2964335362 doi "https://doi.org/10.1016/j.jalgebra.2011.09.036" @default.
- W2964335362 hasPublicationYear "2012" @default.
- W2964335362 type Work @default.
- W2964335362 sameAs 2964335362 @default.
- W2964335362 citedByCount "42" @default.
- W2964335362 countsByYear W29643353622012 @default.
- W2964335362 countsByYear W29643353622013 @default.
- W2964335362 countsByYear W29643353622014 @default.
- W2964335362 countsByYear W29643353622015 @default.
- W2964335362 countsByYear W29643353622016 @default.
- W2964335362 countsByYear W29643353622017 @default.
- W2964335362 countsByYear W29643353622018 @default.
- W2964335362 countsByYear W29643353622019 @default.
- W2964335362 countsByYear W29643353622020 @default.
- W2964335362 countsByYear W29643353622021 @default.
- W2964335362 countsByYear W29643353622022 @default.
- W2964335362 countsByYear W29643353622023 @default.
- W2964335362 crossrefType "journal-article" @default.
- W2964335362 hasAuthorship W2964335362A5070925864 @default.
- W2964335362 hasBestOaLocation W29643353621 @default.
- W2964335362 hasConcept C12362212 @default.
- W2964335362 hasConcept C134306372 @default.
- W2964335362 hasConcept C136119220 @default.
- W2964335362 hasConcept C157097347 @default.
- W2964335362 hasConcept C202444582 @default.
- W2964335362 hasConcept C2780990831 @default.
- W2964335362 hasConcept C33923547 @default.
- W2964335362 hasConceptScore W2964335362C12362212 @default.
- W2964335362 hasConceptScore W2964335362C134306372 @default.
- W2964335362 hasConceptScore W2964335362C136119220 @default.
- W2964335362 hasConceptScore W2964335362C157097347 @default.
- W2964335362 hasConceptScore W2964335362C202444582 @default.
- W2964335362 hasConceptScore W2964335362C2780990831 @default.
- W2964335362 hasConceptScore W2964335362C33923547 @default.
- W2964335362 hasIssue "1" @default.
- W2964335362 hasLocation W29643353621 @default.
- W2964335362 hasLocation W29643353622 @default.
- W2964335362 hasLocation W29643353623 @default.
- W2964335362 hasOpenAccess W2964335362 @default.
- W2964335362 hasPrimaryLocation W29643353621 @default.
- W2964335362 hasRelatedWork W1529715114 @default.
- W2964335362 hasRelatedWork W1967227547 @default.
- W2964335362 hasRelatedWork W1969219531 @default.
- W2964335362 hasRelatedWork W1990725943 @default.
- W2964335362 hasRelatedWork W2014003871 @default.
- W2964335362 hasRelatedWork W2120826334 @default.
- W2964335362 hasRelatedWork W2897153210 @default.
- W2964335362 hasRelatedWork W3026358768 @default.
- W2964335362 hasRelatedWork W3038654277 @default.
- W2964335362 hasRelatedWork W4254355384 @default.
- W2964335362 hasVolume "350" @default.
- W2964335362 isParatext "false" @default.
- W2964335362 isRetracted "false" @default.
- W2964335362 magId "2964335362" @default.
- W2964335362 workType "article" @default.