On inverse operations in the lattices of submodules
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On inverse operations in the lattices of submodules
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| Creator |
Kashu, A.I.
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| 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.
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| Date |
2019-06-08T18:29:48Z
2019-06-08T18:29:48Z 2012 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/152210 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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