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Communications in Algebra Volume 28, 2000 - Issue 5
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Original Articles

On the Elasticities of Krull Domains with Finite Cyclic Divisor Class Group

David F. Anderson Department of Mathematics, University of Tennessee, Knoxville, Tennessee, 37996
&
Scott T. Chapman Department of Mathematics, Trinity University, 715 Stadium Drive, San Antonio, Texas, 78212-t200
Pages 2543-2553 | Received 01 Oct 1998, Published online: 27 Jun 2007

Citations (10)

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Read on this site (1)

Paul Baginski & Scott T. Chapman. (2011) Factorizations of Algebraic Integers, Block Monoids, and Additive Number Theory. The American Mathematical Monthly 118:10, pages 901-920.
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Articles from other publishers (9)

Nancy Jiang, Bangzheng Li & Sophie Zhu. (2023) On the primality and elasticity of algebraic valuations of cyclic free semirings. International Journal of Algebra and Computation 33:02, pages 197-210.
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Xiangneng Zeng & Guixin Deng. (2021) Elasticities of Krull monoids with infinite cyclic class group. Journal of Commutative Algebra 13:3.
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SooAh Chang, Scott Chapman & William Smith. (2007) Elasticity in certain block monoids via the Euclidean table. Mathematica Slovaca 57:5, pages 415-454.
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Scott T. Chapman & William W. Smith. (2007) An inequality concerning the elasticity of Krull monoids with divisor class group $\mathbb{Z}_p$. Ricerche di Matematica 56:1, pages 107-117.
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Sooah Chang, Scott T. Chapman & William W. Smith. (2006) On minimum delta set values in block monoids over cyclic groups. The Ramanujan Journal 14:1, pages 155-171.
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S.T. Chapman, M.T. Holden & T.A. Moore. (2006) Full Elasticity in Atomic Monoids and Integral Domains. Rocky Mountain Journal of Mathematics 36:5.
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Scott T. Chapman & William W. Smith. (2006) Restricted Elasticity and Rings of Integer-Valued Polynomials Determined by Finite Subsets. Monatshefte für Mathematik 148:3, pages 195-203.
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K. Kattchee. (2004) Elasticities of Krull domains with finite divisor class group. Linear Algebra and its Applications 384, pages 171-185.
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S.T. Chapman, J.I. Garcı́a-Garcı́a, P.A. García-Sánchez & J.C. Rosales. (2001) Computing the elasticity of a Krull monoid. Linear Algebra and its Applications 336:1-3, pages 191-200.
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