Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949516500> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2949516500 abstract "Let R be a Noetherian commutative ring of dimension n >2 and let A=R[T,T^{-1}]. Assume that the height of the Jacobson radical of R is atleast 2. Let P be a projective A-module of rank n=dim A - 1 with trivial determinant. We define an abelian group called the class group of A, denoted by E(A). Let chi be an isomorphism from A to det(P). To the pair (P,chi), we associate an element of E(A), called the Euler class of P, denoted by e(P,chi). Then we prove that a necessary and sufficient condition for P to have a unimodular element is the vanishing of e(P,chi) in E(A). Earlier, Bhatwadekar and Raja Sridharan have defined the Euler class group of R, denoted by E(R), and have proved similar results for projective R-module of rank n. Later, Mrinal K. Das defined the Euler class group of the polynomial ring R[T], denoted by E(R[T]), and proved similar results for projective R[T]-modules of rank n with trivial determinant." @default.
- W2949516500 created "2019-06-27" @default.
- W2949516500 creator A5028133074 @default.
- W2949516500 date "2006-03-10" @default.
- W2949516500 modified "2023-09-27" @default.
- W2949516500 title "Euler class group of Laurent polynomial ring : local case" @default.
- W2949516500 cites W1597321374 @default.
- W2949516500 cites W1974701919 @default.
- W2949516500 cites W1979173474 @default.
- W2949516500 cites W1987582100 @default.
- W2949516500 cites W1990514148 @default.
- W2949516500 cites W2012214502 @default.
- W2949516500 cites W2013405387 @default.
- W2949516500 cites W2041597563 @default.
- W2949516500 cites W2043024864 @default.
- W2949516500 cites W2057490091 @default.
- W2949516500 cites W2058540481 @default.
- W2949516500 cites W2142363641 @default.
- W2949516500 hasPublicationYear "2006" @default.
- W2949516500 type Work @default.
- W2949516500 sameAs 2949516500 @default.
- W2949516500 citedByCount "0" @default.
- W2949516500 crossrefType "posted-content" @default.
- W2949516500 hasAuthorship W2949516500A5028133074 @default.
- W2949516500 hasConcept C106639798 @default.
- W2949516500 hasConcept C114614502 @default.
- W2949516500 hasConcept C118615104 @default.
- W2949516500 hasConcept C136170076 @default.
- W2949516500 hasConcept C164226766 @default.
- W2949516500 hasConcept C178790620 @default.
- W2949516500 hasConcept C185592680 @default.
- W2949516500 hasConcept C201958917 @default.
- W2949516500 hasConcept C2780378348 @default.
- W2949516500 hasConcept C2781311116 @default.
- W2949516500 hasConcept C33676613 @default.
- W2949516500 hasConcept C33923547 @default.
- W2949516500 hasConcept C76572486 @default.
- W2949516500 hasConceptScore W2949516500C106639798 @default.
- W2949516500 hasConceptScore W2949516500C114614502 @default.
- W2949516500 hasConceptScore W2949516500C118615104 @default.
- W2949516500 hasConceptScore W2949516500C136170076 @default.
- W2949516500 hasConceptScore W2949516500C164226766 @default.
- W2949516500 hasConceptScore W2949516500C178790620 @default.
- W2949516500 hasConceptScore W2949516500C185592680 @default.
- W2949516500 hasConceptScore W2949516500C201958917 @default.
- W2949516500 hasConceptScore W2949516500C2780378348 @default.
- W2949516500 hasConceptScore W2949516500C2781311116 @default.
- W2949516500 hasConceptScore W2949516500C33676613 @default.
- W2949516500 hasConceptScore W2949516500C33923547 @default.
- W2949516500 hasConceptScore W2949516500C76572486 @default.
- W2949516500 hasLocation W29495165001 @default.
- W2949516500 hasOpenAccess W2949516500 @default.
- W2949516500 hasPrimaryLocation W29495165001 @default.
- W2949516500 hasRelatedWork W1855754839 @default.
- W2949516500 hasRelatedWork W1967616525 @default.
- W2949516500 hasRelatedWork W2002163755 @default.
- W2949516500 hasRelatedWork W2025159010 @default.
- W2949516500 hasRelatedWork W2042407165 @default.
- W2949516500 hasRelatedWork W2210718701 @default.
- W2949516500 hasRelatedWork W2384491860 @default.
- W2949516500 hasRelatedWork W2388871334 @default.
- W2949516500 hasRelatedWork W2515075149 @default.
- W2949516500 hasRelatedWork W2738345781 @default.
- W2949516500 hasRelatedWork W2740627309 @default.
- W2949516500 hasRelatedWork W2892334447 @default.
- W2949516500 hasRelatedWork W2907780480 @default.
- W2949516500 hasRelatedWork W2908047887 @default.
- W2949516500 hasRelatedWork W2914048043 @default.
- W2949516500 hasRelatedWork W2964086946 @default.
- W2949516500 hasRelatedWork W2999768420 @default.
- W2949516500 hasRelatedWork W3032702434 @default.
- W2949516500 hasRelatedWork W3104177249 @default.
- W2949516500 hasRelatedWork W2767525708 @default.
- W2949516500 isParatext "false" @default.
- W2949516500 isRetracted "false" @default.
- W2949516500 magId "2949516500" @default.
- W2949516500 workType "article" @default.