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...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2012 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152210 |
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| Cite this: | 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. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On inverse operations in the lattices of submodules |
| spellingShingle |
On inverse operations in the lattices of submodules Kashu, A.I. |
| title_short |
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_sort |
on inverse operations in the lattices of submodules |
| author |
Kashu, A.I. |
| author_facet |
Kashu, A.I. |
| publishDate |
2012 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152210 |
| 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. |
| work_keys_str_mv |
AT kashuai oninverseoperationsinthelatticesofsubmodules |
| first_indexed |
2025-12-07T16:38:54Z |
| last_indexed |
2025-12-07T16:38:54Z |
| _version_ |
1850868272460726272 |