## On the connection between the topological graph property and the theory of commutative rings

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We try to establish some connections between commutative ring theory and topological graph theory, by study of the genus of the intersection graph of ideals and classify all graphs of genus 1 and genus 2 that are intersection graphs of ideals of some commutative rings.

##### Keywords:

Commutative rings / genus / ideals

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2017##### URI

http://www.mi.sanu.ac.rs/novi_sajt/research/conferences.phphttp://grafar.grf.bg.ac.rs/handle/123456789/1836

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GraFarTY - CONF AU - Pucanović, Zoran PY - 2017 UR - http://www.mi.sanu.ac.rs/novi_sajt/research/conferences.php UR - http://grafar.grf.bg.ac.rs/handle/123456789/1836 AB - We try to establish some connections between commutative ring theory and topological graph theory, by study of the genus of the intersection graph of ideals and classify all graphs of genus 1 and genus 2 that are intersection graphs of ideals of some commutative rings. T1 - On the connection between the topological graph property and the theory of commutative rings ER -

@conference{ author = "Pucanović, Zoran", year = "2017", url = "http://www.mi.sanu.ac.rs/novi_sajt/research/conferences.php, http://grafar.grf.bg.ac.rs/handle/123456789/1836", abstract = "We try to establish some connections between commutative ring theory and topological graph theory, by study of the genus of the intersection graph of ideals and classify all graphs of genus 1 and genus 2 that are intersection graphs of ideals of some commutative rings.", title = "On the connection between the topological graph property and the theory of commutative rings" }

Pucanović, Z. (2017). On the connection between the topological graph property and the theory of commutative rings. .

Pucanović Z. On the connection between the topological graph property and the theory of commutative rings. 2017;

Pucanović Zoran, "On the connection between the topological graph property and the theory of commutative rings" (2017)

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