Found 106 Documents (Results 1–100)

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A realization result for systems of sets of lengths. (English)Zbl 07534004

MSC:  13F05 20M13 13A05
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On strongly primary monoids, with a focus on Puiseux monoids. (English)Zbl 1456.13003

MSC:  13A05 20M13 20M14
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On strongly primary monoids and domains. (English)Zbl 1452.13002

MSC:  13A05 13F05 20M13
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Multiplicative factorization in numerical semigroups. (English)Zbl 1478.13002

MSC:  13A05 20M14 11R27
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Factorization theory in commutative monoids. (English)Zbl 1442.20037

MSC:  20M13 20M14 13G05
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Minimal relations and catenary degrees in Krull monoids. (English)Zbl 1409.13004

MSC:  13A05 13F05 20M13
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A characterization of finite abelian groups via sets of lengths in transfer Krull monoids. (English)Zbl 1455.20034

Reviewer: Hwankoo Kim (Asan)
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Sets of lengths in atomic unit-cancellative finitely presented monoids. (English)Zbl 1441.20040

MSC:  20M13 20M05 13A05
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Systems of sets of lengths: transfer Krull monoids versus weakly Krull monoids. (English)Zbl 1434.11036

Fontana, Marco (ed.) et al., Rings, polynomials, and modules. Proceedings of the conferences “Recent advances in commutative ring and module theory”, Bressanone/Brixen, Italy, June 13–17, 2016 and “Conference on rings and polynomials”, Graz, Austria, July 3–8, 2016. Cham: Springer. 191-235 (2017).
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Factorizations in self-idealizations of PIRs and UFRs. (English)Zbl 1387.13006

MSC:  13A05 15B05 20H25
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A realization theorem for sets of distances. (English)Zbl 1365.13002

MSC:  13A05 13F05
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Factorization invariants in half-factorial affine semigroups. (English)Zbl 1272.20060

MSC:  20M13 20M14 13A05
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The set of distances in Krull monoids. (English)Zbl 1255.13002

MSC:  20M13 11B50 13A05
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Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. (English)Zbl 1279.20072

MSC:  20M13 13A05 20M14
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Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. (English)Zbl 1474.20117

MSC:  20M14 20M13 13A05
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Characterization of class groups of Krull monoids via their systems of sets of lengths: a status report. (English)Zbl 1244.20053

Adhikari, Sukumar Das (ed.) et al., Number theory and applications. Proceedings of the international conferences on number theory and cryptography, Allahabad, India, December 2006 and February 2007. New Delhi: Hindustan Book Agency (ISBN 978-81-85931-97-5/hbk). 189-212 (2009).

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Additive group theory and non-unique factorizations. (English)Zbl 1221.20045

Geroldinger, Alfred et al., Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse). Basel: Birkhäuser (ISBN 978-3-7643-8961-1/pbk; 978-3-7643-8962-8/ebook). Advanced Courses in Mathematics - CRM Barcelona, 1-86 (2009).

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Strongly taut finitely generated monoids. (English)Zbl 1152.20049

MSC:  20M14 20M05 13A05
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On minimal distances in Krull monoids with infinite class group. (English)Zbl 1198.20049

MSC:  20M14 13F05 11R27
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Sets of lengths do not characterize numerical monoids. (English)Zbl 1139.20056

MSC:  20M14 20M05 11B25
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On a result of James and Niven concerning unique factorization in congruence semigroups. (English)Zbl 1136.20044

MSC:  20M14 11A51
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Elastic properties and prime elements. (English)Zbl 1115.20051

MSC:  20M14 13F15 20M05
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A note on sets of lengths of powers of elements of finitely generated monoids. (English)Zbl 1108.11083

Chapman, Scott T. (ed.), Arithmetical properties of commutative rings and monoids. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-8247-2327-9/pbk). Lecture Notes in Pure and Applied Mathematics 241, 293-303 (2005).

Monotone chains of factorizations in C-monoids. (English)Zbl 1095.20040

Chapman, Scott T. (ed.), Arithmetical properties of commutative rings and monoids. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-8247-2327-9/pbk). Lecture Notes in Pure and Applied Mathematics 241, 99-113 (2005).

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Oscillations of error terms associated with certain arithmetical functions. (English)Zbl 1099.11056

MSC:  11N64 11N37
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Tamely generated ideals in finitary monoids. (English)Zbl 1066.20059

MSC:  20M12 20M14 11R27

An addition theorem and its arithmetical application. (English)Zbl 1019.11002

MSC:  11B13 11B25 11R27
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MSC:  20M20
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The semigroup of singular endomorphisms. (English)Zbl 0920.20055

MSC:  20M20 20M05
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Splitting multiplicative sets and elasticity. (English)Zbl 0932.13012

MSC:  13F15 13G05 13F05
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Factorization in $$K[S]$$. (English)Zbl 0870.20048

Cahen, Paul-Jean (ed.) et al., Commutative ring theory. Proceedings of the 2nd international conference, Fès, Morocco, June 5–10, 1995. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 185, 45-56 (1997).
MSC:  20M25 13F15 20M14

Factorization in $$K[[S]]$$. (English)Zbl 0898.13015

Anderson, Daniel D. (ed.), Factorization in integral domains. Based on the proceedings of the conference, March 21, 1996, and the special session in commutative ring theory, March 22–23, 1996, at the 909th meeting of the American Mathematical Society, Iowa City, IA, USA. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 189, 243-255 (1997).

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An analysis using the Zaks-Skula constant of element factorizations in Dedekind domains. (English)Zbl 0784.11050

MSC:  11R27 13F05 20D06
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On the lengths of factorizations of elements in an algebraic number ring. (English)Zbl 0765.11043

MSC:  11R27 13F05
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Relative block semigroups and their arithmetical applications. (English)Zbl 0769.11038

MSC:  11R27 11R47 20M14
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