Cancellation ideals of a ring extension

dc.contributor.author	Tchamna, S.
dc.date.accessioned	2023-03-12T18:34:08Z
dc.date.available	2023-03-12T18:34:08Z
dc.date.issued	2021
dc.identifier.citation	Cancellation ideals of a ring extension / S. Tchamna // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 138–146. — Бібліогр.: 7 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	DOI:10.12958/adm1424
dc.identifier.other	2020 MSC: 13A15, 13A18, 13B02
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188722
dc.description.abstract	We study properties of cancellation ideals of ring extensions. Let R ⊆ S be a ring extension. A nonzero S-regular ideal I of R is called a (quasi)-cancellation ideal of the ring extension R ⊆ S if whenever IB = IC for two S-regular (finitely generated) R-submodules B and C of S, then B = C. We show that a finitely generated ideal I is a cancellation ideal of the ring extension R ⊆ S if and only if I is S-invertible.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Cancellation ideals of a ring extension	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA