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Original Articles

Sets of Lengths

Pages 960-988 | Published online: 13 Dec 2017

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Nicholas R. Baeth & Scott T. Chapman. (2023) The Importance of Being Prime⋆, a Nontrivial Generalization for Nonunique Factorizations. The American Mathematical Monthly 130:10, pages 893-914.
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Khalid Ajran, Juliet Bringas, Bangzheng Li, Easton Singer & Marcos Tirador. (2023) Factorization in additive monoids of evaluation polynomial semirings. Communications in Algebra 51:10, pages 4347-4362.
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Safia Boukheche, Kamil Merito, Oscar Ordaz & Wolfgang A. Schmid. (2022) Monoids of sequences over finite abelian groups defined via zero-sums with respect to a given set of weights and applications to factorizations of norms of algebraic integers. Communications in Algebra 50:10, pages 4195-4217.
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Stephan Ramon Garcia, Christopher O'Neill & Gabe Udell. (2022) Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups. Communications in Algebra 50:8, pages 3481-3497.
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Sophie Zhu. (2022) Factorizations in evaluation monoids of Laurent semirings. Communications in Algebra 50:6, pages 2719-2730.
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N. R. Baeth, H. Chen, G. Heilbrunn, R. Liu & M. Young. (2022) Semigroups of non-negative integer-valued matrices. Communications in Algebra 50:3, pages 1199-1219.
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Felix Gotti. (2022) On semigroup algebras with rational exponents. Communications in Algebra 50:1, pages 3-18.
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Aqsa Bashir, Alfred Geroldinger & Andreas Reinhart. (2021) On the arithmetic of stable domains. Communications in Algebra 49:11, pages 4763-4787.
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Scott T. Chapman, Felix Gotti & Marly Gotti. (2021) When Is a Puiseux Monoid Atomic?. The American Mathematical Monthly 128:4, pages 302-321.
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Maria Bras-Amoros & Marly Gotti. (2021) Atomicity and density of Puiseux monoids. Communications in Algebra 49:4, pages 1560-1570.
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Sofía Albizu-Campos, Juliet Bringas & Harold Polo. (2021) On the atomic structure of exponential Puiseux monoids and semirings. Communications in Algebra 49:2, pages 850-863.
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Weidong Gao, Chao Liu, Salvatore Tringali & Qinghai Zhong. (2021) On half-factoriality of transfer Krull monoids. Communications in Algebra 49:1, pages 409-420.
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Scott T. Chapman, Felix Gotti & Marly Gotti. (2020) Factorization invariants of Puiseux monoids generated by geometric sequences. Communications in Algebra 48:1, pages 380-396.
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Scott T. Chapman. (2019) So What Is Class Number 2?. The American Mathematical Monthly 126:4, pages 330-339.
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Qinghai Zhong. (2018) A characterization of finite abelian groups via sets of lengths in transfer Krull monoids. Communications in Algebra 46:9, pages 4021-4041.
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