Multiplicative Ideal Theory and Factorization Theory

Multiplicative Ideal Theory in Non-commutative Rings (E. Akalan, H. Marubayashi).- About number fields with Pólya group of order ≤ 2 (D. Adam, J.-L. Chabert).- The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics (K. Cziczler, M. Domokos, A. Geroldinger).-&nbsp;Ring and semigroup constructions (M. D'Anna).-&nbsp;New Distinguished Classes of Spectral Spaces (C.A. Finocchiaro, M. Fontana, D. Spirito).- Relative polynomial closure and monadically Krull monoids of integer-valued polynomials (S. Frisch).-An overview of the computational aspects of nonunique factorization invariants (P.A. García-Sánchez).-Arithmetic of Mori domains and monoids: The global case (F. Kainrath).-&nbsp;Prüfer Domains of Integer-Valued Polynomials (K.A. Loper, M. Syvuk).-&nbsp;Lobal Properties of Integral Domains (T.G. Lucas).-&nbsp;Topological aspects of irredundant intersections&nbsp;of ideals and valuation rings (B. Olberding).-&nbsp;Noetherian semigroup algebrasand beyond (J.&nbsp;Okniński).-&nbsp;Idempotent pairs and PRINC domains (G. Peruginelli, L. Salce, P. Zanardo).-&nbsp;Some recent results and open problems on sets of&nbsp;lengths of Krull monoids with finite class group (W.A. Schmid).-&nbsp;Factorizations of elements in noncommutative&nbsp;rings: A survey (D. Smertnig).<p></p><p></p>