On Reduced Zero-Divisor Graphs of Posets. (1st January 2015)

• Record Type: Journal Article
• Authors: Das, Ashish Kumar; Nongsiang, Deiborlang
• Other Names: Shiu Wai Chee Academic Editor.
• Is Part Of: Journal of discrete mathematics. Volume 2015(2015)
• Publication Date: 2015-01-01
• Subjects: Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Periodicals; 511.1
• DOI: 10.1155/2015/736326
• Languages: English
• ISSNs: 2090-9837

Abstract

Abstract : We study some properties of a graph which is constructed from the equivalence classes of nonzero zero-divisors determined by the annihilator ideals of a poset. In particular, we demonstrate how this graph helps in identifying the annihilator prime ideals of a poset that satisfies the ascending chain condition for its proper annihilator ideals.