The Ideal Theory and Arithmetic of Rings, Monoids, and Semigroups

Scott T. Chapman, Sam Houston State University, Huntsville, TX

Alfred Geroldinger, Hwankoo Kim, and K. Alan Loper, On long-term problems in multiplicative ideal theory and factorization theory; Kai Steve Fan and Paul Pollack, Extremal elasticity of quadratic orders; Nathan Kaplan, Kaylee Kim, Cole McGeorge, Fabian Ramirez, and Deepesh Singhal, On the smallest partition associated to a numerical semigroup; S. Bonzio and P. A. Garcia-Sanchez, When the divisibility poset of the ideal class monoid of a numerical semigroup is a lattice; Sogol Cyrusian, Alex Domat, Christopher O'Neill, Vadim Ponomarenko, Eric Ren, and Mayla Ward, On numerical semigroup elements and the $\ell_0$ and $\ell_\infty$ norms of their factorizations; Scott T. Chapman, Felix Gotti, Marly Gotti, and Harold Polo, On three families of dense Puiseux monoids; Kamil Merito, Oscar Ordaz, and Wolfgang A. Schmid, The set of minimal distances of the monoid of plus-minus weighted zero-sum sequences and applications to the characterization problem; Andreas Reinhart, On counterexamples to Mordell's Pellian Equation Conjecture and the AAC Conjecture: A non-computer-based approach; Jared Kettinger, A generalized Davenport constant of the second kind; Jesse Elliott and Neil Epstein, Additive subgroups of a module that are saturated with respect to a subset of the ring; Djamila AitElhadi and Ayman Badawi, The $n$-total graph of a commutative ring; Joseph Swanson, Radii of convergence of algebraic power series; Davide Castelnovo, Dikran Dikranjan, Anna Giordano Bruno, Dario Spirito, and Simone Virili, A length function of $\mathbb{Z}[X_1\ldots,X_m]$-modules and Mahler measures; Damiano Saccone, Weakly Arf property for quadratic quotients of the Rees algebra