On the intersection graphs of ideals of direct product of rings
Discussiones Mathematicae. General Algebra and Applications, Tome 34 (2014) no. 2, pp. 191-201
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In this paper we first calculate the number of vertices and edges of the intersection graph of ideals of direct product of rings and fields. Then we study Eulerianity and Hamiltonicity in the intersection graph of ideals of direct product of commutative rings.
Keywords:
ideal, direct sum, intersection graph, Eulerian, Hamiltonian
@article{DMGAA_2014_34_2_a4,
author = {Rad, Nader and Jafari, Sayyed and Ghosh, Shamik},
title = {On the intersection graphs of ideals of direct product of rings},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {191--201},
publisher = {mathdoc},
volume = {34},
number = {2},
year = {2014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2014_34_2_a4/}
}
TY - JOUR AU - Rad, Nader AU - Jafari, Sayyed AU - Ghosh, Shamik TI - On the intersection graphs of ideals of direct product of rings JO - Discussiones Mathematicae. General Algebra and Applications PY - 2014 SP - 191 EP - 201 VL - 34 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGAA_2014_34_2_a4/ LA - en ID - DMGAA_2014_34_2_a4 ER -
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Rad, Nader; Jafari, Sayyed; Ghosh, Shamik. On the intersection graphs of ideals of direct product of rings. Discussiones Mathematicae. General Algebra and Applications, Tome 34 (2014) no. 2, pp. 191-201. http://geodesic.mathdoc.fr/item/DMGAA_2014_34_2_a4/