THE TOTAL GRAPH OF A MODULE OVER A COMMUTATIVE RING WITH RESPECT TO PROPER SUBMODULES

DOI10.1142/S0219498811005762zbMath1250.13012MaRDI QIDQ2892987

Sh. Habibi, Ahmad Abbasi

Publication date: 25 June 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

prime submodulescommutative ringstotal graphzero divisor

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) Ideals and multiplicative ideal theory in commutative rings (13A15) Other special types of modules and ideals in commutative rings (13C13)

Related Items (4)

Total graph of a module with respect to singular submodule ⋮ On total directed graphs of non-commutative rings ⋮ The classi cation of rings with its genus of class of graphs ⋮ On the genus of some total graphs

Cites Work

• The total graph of a commutative ring
• Prime submodules of Noetherian modules
• THE TOTAL GRAPH OF A COMMUTATIVE RING WITH RESPECT TO PROPER IDEALS
• Primal modules
• Multiplication modules

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