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Communications in Algebra Volume 48, 2020 - Issue 1
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Original Articles

Factorization invariants of Puiseux monoids generated by geometric sequences

Scott T. ChapmanDepartment of Mathematics and Statistics, Sam Houston State University, Huntsville, TX, USA; Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-1205-6899
ORCID Icon,
Felix GottiDepartment of Mathematics, UC Berkeley, Berkeley, CA, USA; ;Department of Mathematics, Harvard University, Cambridge, MA, USA; ORCID Iconhttp://orcid.org/0000-0002-5313-2141
ORCID Icon &
Marly GottiDepartment of Mathematics, University of Florida, Gainesville, FL, USAORCID Iconhttp://orcid.org/0000-0002-0204-4010
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Pages 380-396 | Received 28 Mar 2019, Accepted 26 Jun 2019, Published online: 03 Aug 2019

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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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Sophie Zhu. (2022) Factorizations in evaluation monoids of Laurent semirings. Communications in Algebra 50:6, pages 2719-2730.
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J. R. Juett & Alejandra M. Medina. (2022) Finite factorization properties in commutative monoid rings with zero divisors. Communications in Algebra 50:1, pages 392-422.
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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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J. R. Juett, Christopher Park Mooney & Lois W. Ndungu. (2021) Unique factorization of ideals in commutative rings with zero divisors. Communications in Algebra 49:5, pages 2101-2125.
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Ranthony A. C. Edmonds & J. R. Juett. (2021) Associates, irreducibility, and factorization length in monoid rings with zero divisors. Communications in Algebra 49:5, pages 1836-1860.
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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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Bowen Yao. (2020) A Note on Fraction Decompositions of Integers. The American Mathematical Monthly 127:10, pages 928-932.
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Articles from other publishers (22)

Felix Gotti & Joseph Vulakh. (2023) On the atomic structure of torsion-free monoids. Semigroup Forum 107:2, pages 402-423.
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Felix Gotti & Harold Polo. (2023) On the arithmetic of polynomial semidomains. Forum Mathematicum 0:0.
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Scott T. Chapman & Harold Polo. (2023) Arithmetic of additively reduced monoid semidomains. Semigroup Forum.
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Victor Fadinger & Qinghai Zhong. (2022) On product-one sequences over subsets of groups. Periodica Mathematica Hungarica 86:2, pages 454-494.
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SALVATORE TRINGALI. (2023) A characterisation of atomicity. Mathematical Proceedings of the Cambridge Philosophical Society, pages 1-7.
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Felix Gotti & Bangzheng Li. (2023) Atomic semigroup rings and the ascending chain condition on principal ideals. Proceedings of the American Mathematical Society.
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Harold Polo. (2022) Factorization invariants of the additive structure of exponential Puiseux semirings. Journal of Algebra and Its Applications 22:03.
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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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Juan Ignacio García-García, Daniel Marín-Aragón & Alberto Vigneron-Tenorio. (2023) Asymptotic ω-Primality of Finitely Generated Cancelative Commutative Monoids. Mathematics 11:4, pages 790.
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H. E. Bruch, J. R. Juett & Christopher Park Mooney. 2023. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory 135 153 .
Felix Gotti & Harold Polo. 2023. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory 197 212 .
Jyrko Correa-Morris & Felix Gotti. (2022) On the additive structure of algebraic valuations of polynomial semirings. Journal of Pure and Applied Algebra 226:11, pages 107104.
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Scott T. Chapman, Christopher O’Neill & Vadim Ponomarenko. (2022) On length densities. Forum Mathematicum 34:2, pages 293-306.
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Harold Polo. (2022) Approximating length-based invariants in atomic Puiseux monoids. Algebra and Discrete Mathematics 33:1, pages 128-139.
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Nicholas R. Baeth, Scott T. Chapman & Felix Gotti. (2021) Bi-atomic classes of positive semirings. Semigroup Forum 103:1, pages 1-23.
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Scott T. Chapman, Jim Coykendall, Felix Gotti & William W. Smith. (2021) Length-factoriality in commutative monoids and integral domains. Journal of Algebra 578, pages 186-212.
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Alfred Geroldinger, Felix Gotti & Salvatore Tringali. (2021) On strongly primary monoids, with a focus on Puiseux monoids. Journal of Algebra 567, pages 310-345.
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Marly Gotti & Marcos M. Tirador. 2021. Rings, Monoids and Module Theory. Rings, Monoids and Module Theory 111 125 .
Felix Gotti. (2020) Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid. Linear Algebra and its Applications 604, pages 146-186.
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Nicholas R. Baeth & Felix Gotti. (2020) Factorizations in upper triangular matrices over information semialgebras. Journal of Algebra 562, pages 466-496.
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Felix Gotti. 2020. Numerical Semigroups. Numerical Semigroups 129 139 .
Felix Gotti & Marly Gotti. 2020. Numerical Semigroups. Numerical Semigroups 141 161 .

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