Zero-Divisor Graphs of Some Algebraic Structures: Zero-Divisor Graphs of Rickart *-Rings and Dismantalabel Lattices - Image 1

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LAP Lambert Academic Publishing Zero-Divisor Graphs of Some Algebraic Structures: Zero-Divisor Graphs of Rickart *-Rings and Dismantalabel Lattices

Name: Zero-Divisor Graphs of Some Algebraic Structures: Zero-Divisor Graphs of Rickart *-Rings and Dismantalabel Lattices
Brand: LAP Lambert Academic Publishing
Price: 69.99 GBP
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Mathematics

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This book studies a graph assigned to the zero divisors of a ring with involution *, which is an anti-homomorphism of order two. The *-rings with zero-divisor graph connected are characterized and results about chromatic number, clique number, girth are obtained. An equivalent condition for adjacency in the zero-divisor graph of Rickart *-rings is obtained using the right projections. The zero-divisors graphs of Rickart *-rings are thoroughly investigated using the prime strict spectrum. Also, the zero-divisor graphs of dismantlable lattices are examined and are used to obtain the zero-divisor graphs of Rickart *-rings. The zero-divisor graphs of dismantlable lattices are characterized using the comparability graphs and non-ancestor graphs. For two lower dismantlable lattices, it is proved that their zero-divisor graphs are isomorphic if and only if the lattices are isomorphic. At last, the orthogonality graphs of ortho lattices are investigated and their connection with zero-divisor graphs is established.

Product Specifications

Brand: LAP Lambert Academic Publishing
Format: paperback
ASIN: 6209231349
Category: Books > Subjects > Science, Nature & Maths > Mathematics
Domain: Amazon UK
Release Date: 26 November 2025
Listed Since: 23 December 2025

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LAP Lambert Academic Publishing Zero-Divisor Graphs of Some Algebraic Structures: Zero-Divisor Graphs of Rickart *-Rings and Dismantalabel Lattices

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LAP Lambert Academic Publishing Zero-Divisor Graphs of Some Algebraic Structures: Zero-Divisor Graphs of Rickart *-Rings and Dismantalabel Lattices

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