FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3208703262> ?p ?o ?g. }

• W3208703262 endingPage "1168" @default.
• W3208703262 startingPage "1154" @default.
• W3208703262 abstract "A right R-module M is virtually extending (or CIS) if every complement submodule of M is isomorphic to a direct summand of M, and M is called a virtually C2-module if every complement submodule of M which is isomorphic to a direct summand of M is itself a direct summand. The class of virtually extending modules (respectively, virtually C2-modules) is a strict and simultaneous generalization of extending modules (respectively, unifies extending modules and C2-modules): M is a semisimple module if and only if M is virtually semisimple and C2, and M is an extending module if and only if M is virtually extending and virtually C2. Furthermore, every virtually simple right R-module is injective if and only if R is a right V-ring and the class of virtually simple right R-modules coincides with the class of simple right R-modules. Among other results, we show that (1) if all cyclic sub-factors of a cyclic weakly co-Hopfian right R-module M are virtually extending, then M is a finite direct sum of uniform submodules; (2) every distributive virtually extending module over any Noetherian ring is a direct sum of uniform submodules; (3) over a right Noetherian ring, every virtually extending module satisfies the Schröder-Bernstein property; (4) being virtually extending (VC2) is a Morita invariant property; (4) if M⊕E(M) is a VC2-module where E(−) denotes the injective hull, then M is injective.Communicated by Scott Chapman" @default.
• W3208703262 created "2021-11-08" @default.
• W3208703262 creator A5016758894 @default.
• W3208703262 creator A5017189267 @default.
• W3208703262 creator A5066885843 @default.
• W3208703262 creator A5084678917 @default.
• W3208703262 date "2021-10-21" @default.
• W3208703262 modified "2023-09-27" @default.
• W3208703262 title "On modules and rings in which complements are isomorphic to direct summands" @default.
• W3208703262 cites W1497483297 @default.
• W3208703262 cites W1504896368 @default.
• W3208703262 cites W1564101281 @default.
• W3208703262 cites W2015029148 @default.
• W3208703262 cites W2020116545 @default.
• W3208703262 cites W2044713506 @default.
• W3208703262 cites W2057074035 @default.
• W3208703262 cites W2081899626 @default.
• W3208703262 cites W2135702607 @default.
• W3208703262 cites W2154157897 @default.
• W3208703262 cites W2169104917 @default.
• W3208703262 cites W2324453013 @default.
• W3208703262 cites W2326734406 @default.
• W3208703262 cites W2606673113 @default.
• W3208703262 cites W2795403093 @default.
• W3208703262 cites W2963079894 @default.
• W3208703262 cites W2963941829 @default.
• W3208703262 cites W609523479 @default.
• W3208703262 doi "https://doi.org/10.1080/00927872.2021.1979026" @default.
• W3208703262 hasPublicationYear "2021" @default.
• W3208703262 type Work @default.
• W3208703262 sameAs 3208703262 @default.
• W3208703262 citedByCount "2" @default.
• W3208703262 countsByYear W32087032622022 @default.
• W3208703262 crossrefType "journal-article" @default.
• W3208703262 hasAuthorship W3208703262A5016758894 @default.
• W3208703262 hasAuthorship W3208703262A5017189267 @default.
• W3208703262 hasAuthorship W3208703262A5066885843 @default.
• W3208703262 hasAuthorship W3208703262A5084678917 @default.
• W3208703262 hasConcept C104317684 @default.
• W3208703262 hasConcept C111472728 @default.
• W3208703262 hasConcept C112313634 @default.
• W3208703262 hasConcept C114614502 @default.
• W3208703262 hasConcept C127716648 @default.
• W3208703262 hasConcept C128107574 @default.
• W3208703262 hasConcept C130430149 @default.
• W3208703262 hasConcept C134565946 @default.
• W3208703262 hasConcept C136119220 @default.
• W3208703262 hasConcept C138885662 @default.
• W3208703262 hasConcept C148896618 @default.
• W3208703262 hasConcept C157480366 @default.
• W3208703262 hasConcept C162860070 @default.
• W3208703262 hasConcept C178790620 @default.
• W3208703262 hasConcept C185592680 @default.
• W3208703262 hasConcept C188082640 @default.
• W3208703262 hasConcept C190470478 @default.
• W3208703262 hasConcept C202444582 @default.
• W3208703262 hasConcept C2779057376 @default.
• W3208703262 hasConcept C2780378348 @default.
• W3208703262 hasConcept C2780586882 @default.
• W3208703262 hasConcept C31937215 @default.
• W3208703262 hasConcept C32268108 @default.
• W3208703262 hasConcept C33923547 @default.
• W3208703262 hasConcept C35729967 @default.
• W3208703262 hasConcept C37914503 @default.
• W3208703262 hasConcept C55493867 @default.
• W3208703262 hasConcept C99463465 @default.
• W3208703262 hasConceptScore W3208703262C104317684 @default.
• W3208703262 hasConceptScore W3208703262C111472728 @default.
• W3208703262 hasConceptScore W3208703262C112313634 @default.
• W3208703262 hasConceptScore W3208703262C114614502 @default.
• W3208703262 hasConceptScore W3208703262C127716648 @default.
• W3208703262 hasConceptScore W3208703262C128107574 @default.
• W3208703262 hasConceptScore W3208703262C130430149 @default.
• W3208703262 hasConceptScore W3208703262C134565946 @default.
• W3208703262 hasConceptScore W3208703262C136119220 @default.
• W3208703262 hasConceptScore W3208703262C138885662 @default.
• W3208703262 hasConceptScore W3208703262C148896618 @default.
• W3208703262 hasConceptScore W3208703262C157480366 @default.
• W3208703262 hasConceptScore W3208703262C162860070 @default.
• W3208703262 hasConceptScore W3208703262C178790620 @default.
• W3208703262 hasConceptScore W3208703262C185592680 @default.
• W3208703262 hasConceptScore W3208703262C188082640 @default.
• W3208703262 hasConceptScore W3208703262C190470478 @default.
• W3208703262 hasConceptScore W3208703262C202444582 @default.
• W3208703262 hasConceptScore W3208703262C2779057376 @default.
• W3208703262 hasConceptScore W3208703262C2780378348 @default.
• W3208703262 hasConceptScore W3208703262C2780586882 @default.
• W3208703262 hasConceptScore W3208703262C31937215 @default.
• W3208703262 hasConceptScore W3208703262C32268108 @default.
• W3208703262 hasConceptScore W3208703262C33923547 @default.
• W3208703262 hasConceptScore W3208703262C35729967 @default.
• W3208703262 hasConceptScore W3208703262C37914503 @default.
• W3208703262 hasConceptScore W3208703262C55493867 @default.
• W3208703262 hasConceptScore W3208703262C99463465 @default.
• W3208703262 hasIssue "3" @default.
• W3208703262 hasLocation W32087032621 @default.
• W3208703262 hasOpenAccess W3208703262 @default.
• W3208703262 hasPrimaryLocation W32087032621 @default.

• next