Matches in SemOpenAlex for { <https://semopenalex.org/work/W1996362360> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W1996362360 endingPage "1095" @default.
- W1996362360 startingPage "1086" @default.
- W1996362360 abstract "Let R be a commutative ring with identity. A nonunit element a ∈ R is an atom if a = bc (b, c ∈ R) implies (a) = (b) or (a) = (c), and R is atomic if each nonunit of R is a finite product of atoms. A ring R is a (weak) CK ring if R is atomic and (each maximal ideal of) R contains only finitely many nonassociate atoms. We show that the following are equivalent: (1) R is a weak CK ring, (2) each (prime) ideal of R is a finite union of principal ideals, (3) R is atomic and each maximal ideal is a finite union of principal ideals, and (4) R is a finite direct product of finite local rings, special principal ideal rings (SPIRs), and (one-dimensional) Noetherian domains in which every maximal ideal is a finite union of principal ideals (or equivalently, weak CK domains). We show that a domain R is a weak CK domain if and only if R is a Noetherian domain with R M a CK domain for each maximal ideal M of R and Pic(R) = 0." @default.
- W1996362360 created "2016-06-24" @default.
- W1996362360 creator A5013294902 @default.
- W1996362360 creator A5040294361 @default.
- W1996362360 date "2012-03-01" @default.
- W1996362360 modified "2023-09-26" @default.
- W1996362360 title "A Class of Atomic Rings" @default.
- W1996362360 cites W1665223843 @default.
- W1996362360 cites W1983836220 @default.
- W1996362360 cites W2017212937 @default.
- W1996362360 cites W2017406670 @default.
- W1996362360 cites W2023849195 @default.
- W1996362360 cites W2070027367 @default.
- W1996362360 cites W2091714646 @default.
- W1996362360 cites W2156309033 @default.
- W1996362360 cites W4248537544 @default.
- W1996362360 doi "https://doi.org/10.1080/00927872.2010.544698" @default.
- W1996362360 hasPublicationYear "2012" @default.
- W1996362360 type Work @default.
- W1996362360 sameAs 1996362360 @default.
- W1996362360 citedByCount "1" @default.
- W1996362360 countsByYear W19963623602015 @default.
- W1996362360 crossrefType "journal-article" @default.
- W1996362360 hasAuthorship W1996362360A5013294902 @default.
- W1996362360 hasAuthorship W1996362360A5040294361 @default.
- W1996362360 hasConcept C111472728 @default.
- W1996362360 hasConcept C114614502 @default.
- W1996362360 hasConcept C118211362 @default.
- W1996362360 hasConcept C118615104 @default.
- W1996362360 hasConcept C134306372 @default.
- W1996362360 hasConcept C138885662 @default.
- W1996362360 hasConcept C142109727 @default.
- W1996362360 hasConcept C156923205 @default.
- W1996362360 hasConcept C161491579 @default.
- W1996362360 hasConcept C178790620 @default.
- W1996362360 hasConcept C183778304 @default.
- W1996362360 hasConcept C184992742 @default.
- W1996362360 hasConcept C185592680 @default.
- W1996362360 hasConcept C202444582 @default.
- W1996362360 hasConcept C2776639384 @default.
- W1996362360 hasConcept C2777726979 @default.
- W1996362360 hasConcept C2779467367 @default.
- W1996362360 hasConcept C2780378348 @default.
- W1996362360 hasConcept C33923547 @default.
- W1996362360 hasConcept C36503486 @default.
- W1996362360 hasConcept C78766492 @default.
- W1996362360 hasConceptScore W1996362360C111472728 @default.
- W1996362360 hasConceptScore W1996362360C114614502 @default.
- W1996362360 hasConceptScore W1996362360C118211362 @default.
- W1996362360 hasConceptScore W1996362360C118615104 @default.
- W1996362360 hasConceptScore W1996362360C134306372 @default.
- W1996362360 hasConceptScore W1996362360C138885662 @default.
- W1996362360 hasConceptScore W1996362360C142109727 @default.
- W1996362360 hasConceptScore W1996362360C156923205 @default.
- W1996362360 hasConceptScore W1996362360C161491579 @default.
- W1996362360 hasConceptScore W1996362360C178790620 @default.
- W1996362360 hasConceptScore W1996362360C183778304 @default.
- W1996362360 hasConceptScore W1996362360C184992742 @default.
- W1996362360 hasConceptScore W1996362360C185592680 @default.
- W1996362360 hasConceptScore W1996362360C202444582 @default.
- W1996362360 hasConceptScore W1996362360C2776639384 @default.
- W1996362360 hasConceptScore W1996362360C2777726979 @default.
- W1996362360 hasConceptScore W1996362360C2779467367 @default.
- W1996362360 hasConceptScore W1996362360C2780378348 @default.
- W1996362360 hasConceptScore W1996362360C33923547 @default.
- W1996362360 hasConceptScore W1996362360C36503486 @default.
- W1996362360 hasConceptScore W1996362360C78766492 @default.
- W1996362360 hasIssue "3" @default.
- W1996362360 hasLocation W19963623601 @default.
- W1996362360 hasOpenAccess W1996362360 @default.
- W1996362360 hasPrimaryLocation W19963623601 @default.
- W1996362360 hasRelatedWork W1510183621 @default.
- W1996362360 hasRelatedWork W176742705 @default.
- W1996362360 hasRelatedWork W2093055753 @default.
- W1996362360 hasRelatedWork W2096073785 @default.
- W1996362360 hasRelatedWork W2206280482 @default.
- W1996362360 hasRelatedWork W2321967812 @default.
- W1996362360 hasRelatedWork W3157750124 @default.
- W1996362360 hasRelatedWork W4225702223 @default.
- W1996362360 hasRelatedWork W4293071718 @default.
- W1996362360 hasRelatedWork W4294558051 @default.
- W1996362360 hasVolume "40" @default.
- W1996362360 isParatext "false" @default.
- W1996362360 isRetracted "false" @default.
- W1996362360 magId "1996362360" @default.
- W1996362360 workType "article" @default.