Zobrazeno 1 - 10
of 34
pro vyhledávání: '"N. J. Groenewald"'
Publikováno v:
Journal of Discrete Mathematical Sciences and Cryptography. 24:541-556
We introduce the notion of completely 2-absorbing (denoted by, c-2-absorbing) ideal of an N-group G, as a generalization of completely prime ideal of module over a right near-ring N. We obtain that, for an ideal I of a monogenic N-group G, if (I: G)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f37fe4152eb2d00e54153bc9a7687d8f
https://doi.org/10.1080/09720529.2021.1892268
https://doi.org/10.1080/09720529.2021.1892268
Autor:
N. J. Groenewald
Publikováno v:
JP Journal of Algebra, Number Theory and Applications. 42:171-187
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d28fd9d461289defc63c91049f292e09
https://doi.org/10.17654/nt042020171
https://doi.org/10.17654/nt042020171
Autor:
Bac T. Nguyen, N. J. Groenewald
Publikováno v:
Volume: 25, Issue: 25 212-223
International Electronic Journal of Algebra
International Electronic Journal of Algebra
Let R be a noncommutative ring with identity. We de ne the notion of a 2-absorbing submodule and show that if the ring is commutative then the notion is the same as the original de nition of that of A. Darani and F. Soheilnia. We give an example to s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db2de19544bbfb48ab870f477a0a10b4
https://doi.org/10.24330/ieja.504155
https://doi.org/10.24330/ieja.504155
Autor:
N. J. Groenewald
Publikováno v:
JP Journal of Algebra, Number Theory and Applications. 40:855-867
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::334ff29ddd03387beec077a15f74b6ad
https://doi.org/10.17654/nt040050855
https://doi.org/10.17654/nt040050855
Autor:
S. Juglal, N. J. Groenewald
Publikováno v:
Arabian Journal for Science and Engineering. 36:985-995
We introduce the notion of a strongly prime near-ring module and then characterize strongly prime near-rings in terms of strongly prime modules. Furthermore, we define a \({\mathcal{T}}\)-special class of near-ring modules and then show that the clas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5126dae12e3adbbed0f9c6162f94e118
https://doi.org/10.1007/s13369-011-0092-2
https://doi.org/10.1007/s13369-011-0092-2
Publikováno v:
Algebra Colloquium. 17:887-904
It is well known that there are several non-equivalent types of prime near-rings which are all equivalent in the case of associative rings. In this paper we introduce various characterizations of prime modules in a zero-symmetric near-ring R. The con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9478836264b1327a4ff7623e56fdda76
https://doi.org/10.1142/s1005386710000830
https://doi.org/10.1142/s1005386710000830
Publikováno v:
Algebra Colloquium. 15:501-510
The flow (or lack thereof) of several kinds of primeness between a zero-symmetric near-ring R and its group near-ring R[G] for certain groups G is discussed. In certain cases, results are contrasted against what happens in the matrix near-ring situat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ab868154171f87726f3ecb66a2bf019
https://doi.org/10.1142/s1005386708000497
https://doi.org/10.1142/s1005386708000497
Autor:
N. J. Groenewald
Publikováno v:
Hacettepe Journal of Mathematics and Statistics. 3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5d8309b6c3dd74852112a767c1e63c6
https://doi.org/10.15672/hjms.20164513096
https://doi.org/10.15672/hjms.20164513096
Publikováno v:
Algebra Colloquium. 14:1-14
In this paper, we construct special radicals using class pairs of near-rings. We establish necessary conditions for a class pair to be a special radical class. We then define Jacobson-type near-rings and show that in most cases the class of all near-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f60b3a26a81bf1a992eec4c0fd0bdee6
https://doi.org/10.1142/s1005386707000028
https://doi.org/10.1142/s1005386707000028
Publikováno v:
Quaestiones Mathematicae; Vol 28, No 4 (2005); 471-478
We study prime rings which generate supernilpotent (respectively special) atoms, that is, atoms of the lattice of all supernilpotent (respectively special) radicals. A prime ring A is called a **-ring if the smallest special class containing A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc46d04a041e2eaa5337c4682d1fbe5d
https://doi.org/10.2989/16073600509486141
https://doi.org/10.2989/16073600509486141