A generalization of n-ary prime subhypermodule
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F26%3A00563732" target="_blank" >RIV/60162694:G43__/26:00563732 - isvavai.cz</a>
Result on the web
<a href="https://www.anstuocmath.ro/mathematics/anale2024v3/6_Nikmehr_etall.pdf" target="_blank" >https://www.anstuocmath.ro/mathematics/anale2024v3/6_Nikmehr_etall.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2478/auom-2024-0031" target="_blank" >10.2478/auom-2024-0031</a>
Alternative languages
Result language
angličtina
Original language name
A generalization of n-ary prime subhypermodule
Original language description
Let (M, f, g) be an (m, n)-hypermodule over an (m, n)-hyperring (R, h, k). A proper subhypermodule N of M is called n-ary 2-absorbing subhypermodule if whenever g(r(1)(n-)(1), m) subset of N for some r(1)(n-)(1) is an element of R and m is an element of M, then either g(r(1)(n-1), M) subset of N or g(r(i), m, 1(R)((n-2))) subset of N for some i is an element of {1, . . ., n - 1}. Various properties of n-ary 2-absorbing subhypermodules are investigated. In particular, it is shown that if N is a subhypermodule of an (m, n)-hypermodule (M, f, g) over an (m, n)- hyperring (R, h, k), then N is n-ary 2-absorbing if and only if whenever g(I-1, I-2, 1(R)((n-3)), L) subset of N for some hyperideals I-1, I-2 of R and subhyper- module L of M, then either g(I-1, I-2, 1(R)((n-3)), M) subset of N or g(I-1, 1(R)((n-2)), L) subset of N or g(I-2, 1(R)((n-2)), L) subset of N. Also, n-ary 2-absorbing subhypermodules in multiplication (m, n)-hypermodules are studied.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
ISSN
1224-1784
e-ISSN
1844-0835
Volume of the periodical
32
Issue of the periodical within the volume
3
Country of publishing house
RO - ROMANIA
Number of pages
22
Pages from-to
103-124
UT code for WoS article
001335906900005
EID of the result in the Scopus database
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