On inverse operations in the lattices of submodules

dc.contributor.author	Kashu, A.I.
dc.date.accessioned	2019-06-08T18:29:48Z
dc.date.available	2019-06-08T18:29:48Z
dc.date.issued	2012
dc.identifier.citation	On inverse operations in the lattices of submodules / A.I. Kashu // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 2. — С. 273–288. — Бібліогр.: 6 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:16D90, 16S90, 06B23.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152210
dc.description.abstract	In the lattice L(RM) of submodules of an arbitrary left R-module RM four operation were introduced and investigated in the paper [3]. In the present work the approximations of inverse operations for two of these operations (for α-product and ω-coproduct) are defined and studied. Some properties of left quotient with respect to α-product and right quotient with respect to ω-coproduct are shown, as well as their relations with the lattice operations in L(RM) (sum and intersection of submodules). The particular case RM = RR of the lattice L(RR) of left ideals of the ring R is specified.	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	On inverse operations in the lattices of submodules	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA