The annihilation graphs of commutator posets and lattices

We propose a new, widely generalized context for the study of the zero-divisor/ annihilating-ideal graphs, where the vertices of graphs are not elements/ideals of a commutative ring, but elements of an abstract ordered set (imitating the lattice of ideals), equipped with a binary operation (imitating products of ideals). The intermediate level of congruences of any algebraic structure admitting a "good" theory of commutators is also considered.

Grantor dc:publisher.institution

Department of Mathematics and Applied Mathematics

Year dc:date.issued

2015

Author dc:creator

• Mehdinezhad, Elham

Advisor dc:contributor.advisor

• Janelidze, George

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/16687

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/16687