dc.contributor.author |
Owino, Maurice O |
|
dc.date.accessioned |
2021-08-19T17:47:49Z |
|
dc.date.available |
2021-08-19T17:47:49Z |
|
dc.date.issued |
2021-06 |
|
dc.identifier.citation |
Owino, M. O. (2021). On the Ideal Based Zero Divisor Graphs of Unital Commutative Rings and Galois Ring Module Idealizations. |
en_US |
dc.identifier.issn |
2456-9968 |
|
dc.identifier.uri |
http://ir-library.kabianga.ac.ke/handle/123456789/149 |
|
dc.description |
Research paper published in Journal of Advances in Mathematics and Computer Science |
en_US |
dc.description.abstract |
Let R be a commutative ring with identity 1 and I is an ideal of R. The zero divisor graph of
the ring with respect to ideal has vertices defined as follows: {u ∈ I
c
| uv ∈ I for some v ∈ I
c
},
where I
c
is the complement of I and two distinct vertices are adjacent if and only if their product
lies in the ideal. In this note, we investigate the conditions under which the zero divisor graph
of the ring with respect to the ideal coincides with the zero divisor graph of the ring modulo the
ideal. We also consider a case of Galois ring module idealization and investigate its ideal based
zero divisor graph |
en_US |
dc.language.iso |
en |
en_US |
dc.subject |
Commutative rings |
en_US |
dc.subject |
Ideal |
en_US |
dc.subject |
zero divisor graphs |
en_US |
dc.subject |
Module idealization |
en_US |
dc.title |
On the Ideal Based Zero Divisor Graphs of Unital Commutative Rings and Galois Ring Module Idealizations |
en_US |
dc.type |
Article |
en_US |