期刊论文详细信息
Discussiones Mathematicae - General Algebra and Applications | 卷:41 |
Unitary Invertible Graphs of Finite Rings | |
Sajana Shaik1  Chalapathi Tekuri2  | |
[1] Department of Mathematics, P.R. Govt. Degree College (A), Kakinada, A.P., India; | |
[2] Department of Mathematics, Sree Vidyanikethan Engineering College, Tirupati, A.P., India; | |
关键词: finite commutative rings; additive and mutual additive inverses; euler-function; unitary invertible graphs; basic and non-basic triangles; 11g15; 11t30; 05c30; | |
DOI : 10.7151/dmgaa.1350 | |
来源: DOAJ |
【 摘 要 】
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.
【 授权许可】
Unknown