On inverse operations in the lattices of submodules
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 l...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2012 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2012
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152210 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862700417006174208 |
|---|---|
| author | Kashu, A.I. |
| author_facet | Kashu, A.I. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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.
|
| first_indexed | 2025-12-07T16:38:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152210 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:38:54Z |
| publishDate | 2012 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kashu, A.I. 2019-06-08T18:29:48Z 2019-06-08T18:29:48Z 2012 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. 1726-3255 2010 MSC:16D90, 16S90, 06B23. https://nasplib.isofts.kiev.ua/handle/123456789/152210 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On inverse operations in the lattices of submodules Article published earlier |
| spellingShingle | On inverse operations in the lattices of submodules Kashu, A.I. |
| title | On inverse operations in the lattices of submodules |
| title_full | On inverse operations in the lattices of submodules |
| title_fullStr | On inverse operations in the lattices of submodules |
| title_full_unstemmed | On inverse operations in the lattices of submodules |
| title_short | On inverse operations in the lattices of submodules |
| title_sort | on inverse operations in the lattices of submodules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152210 |
| work_keys_str_mv | AT kashuai oninverseoperationsinthelatticesofsubmodules |