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- W2890169495 abstract "Let $fcolon Arightarrow B$ be a homomorphism of commutative rings and let $J$ be an ideal of $B$. The amalgamation of $A$ with $B$ along $J$ with respect to $f$ is the subring of $Atimes B$ given by [ Abowtie ^{f}J:={(a,f(a)+j) mid ain A, jin J}. ] This paper investigates the zero-divisor graph of amalgamations. Our aim is to characterize when the graph is complete and compute its diameter and girth for various contexts of amalgamations. The new results recover well-known results on duplications, and yield new and original examples issued from amalgamations." @default.
- W2890169495 created "2018-09-27" @default.
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- W2890169495 date "2018-09-05" @default.
- W2890169495 modified "2023-09-26" @default.
- W2890169495 title "Zero-divisor graphs of amalgamations" @default.
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- W2890169495 doi "https://doi.org/10.7146/math.scand.a-105307" @default.
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