| Autor: |
Chalapathi Tekuri, Sajana Shaik |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Discussiones Mathematicae - General Algebra and Applications, Vol 41, Iss 1, Pp 195-208 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2084-0373 |
| DOI: |
10.7151/dmgaa.1350 |
| Popis: |
Let R be a finite commutative ring with unity. In this paper, we consider set of additive and mutual additive inverses of group units of R and obtain interrelations between them. In general φ(Zn) is even, however we demonstrate that φ(R) is odd for any finite commutative ring with unity of Char(R) ≠ 2. Further, we present unitary invertible graph related with self and mutual additive inverses of group units. At long last, we establish a formula for counting the total number of basic and non-basic triangles in the unitary invertible graph. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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