Work

On conductor submonoids of factorial monoids

Year: 2025

Type: article

Abstract: We study algebraic and arithmetic properties of submonoids (resp. subrings) of factorial monoids (resp. factorial domains) whose non-invertible elements all lie in the conductor. This continues earlier work of Baeth, Cisto, et al. On our way we answer several conjectures, formulated in their papers in the affirmative ( [1, Conjecture 4.16] and [6, Conjectures 7 and 13, and Section 9]).

Source: Semigroup Forum

DOI: 10.1007/s00233-025-10583-6

Authors: Alfred Geroldinger, Weihao Yan, Qinghai Zhong

Institutions: University of Graz, Nawi Graz, Hebei Normal University, Shandong University of Technology

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Austrian Science Fund, Karl-Franzens-Universität Graz