Absence of torsion for NK_1(R) over associative rings

dc.contributor.author	BASU, RABEYA	en_US
dc.date.accessioned	2019-02-14T05:52:33Z
dc.date.available	2019-02-14T05:52:33Z
dc.date.issued	2011-07	en_US
dc.identifier.citation	Journal of Algebra and Its Applications, 10(4), 793-799.	en_US
dc.identifier.issn	0219-4988	en_US
dc.identifier.issn	1793-6829	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1848
dc.identifier.uri	https://doi.org/10.1142/S0219498811004951	en_US
dc.description.abstract	When R is a commutative ring with identity, and if k ∈ ℕ, with kR = R, then it was shown in [C. Weibel, Mayer–Vietoris Sequence and Module Structure on NK0, Lecture Notes in Mathematics, Vol. 854 (Springer, 1981), pp. 466–498] that SK1(R[X]) has no k-torsion. We prove this result for any associative ring R with identity in which kR = R.	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific Publishing	en_US
dc.subject	Linear group	en_US
dc.subject	K1	en_US
dc.subject	NK1	en_US
dc.subject	SK1	en_US
dc.subject	torsion	en_US
dc.subject	Witt vectors	en_US
dc.subject	2011	en_US
dc.title	Absence of torsion for NK_1(R) over associative rings	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Algebra and Its Applications	en_US
dc.publication.originofpublisher	Foreign	en_US