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On the Conjecture Related With the Connectedness of the Total Non-zero Divisor Graph

Year: 2025

Type: article

Abstract: In this paper we disprove the conjecture proposed byNur Athirah Farhana Omar Zai et. al related with the connectedness of the total non-zero divisor graph of the ring ofintegers modulo n. Also, some results related to the totalnon-zero divisor graph of matrix ring M2(Zp) for p = 2 isalso derived.

Source: International Journal of Apllied Mathematics

DOI: 10.12732/ijam.v38i4s.252

Author: Akhil B.

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Kerala State Council for Science, Technology and Environment

OpenAlex ID: W4414570553

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