Multiplicative Ideal Theory and Factorization Theory

Multiplicative Ideal Theory in Non-commutative Rings (E. Akalan, H. Marubayashi).- About number fields with Polya 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).- Ring and semigroup constructions (M. D'Anna).- 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. Garcia-Sanchez).-Arithmetic of Mori domains and monoids: The global case (F. Kainrath).- Pruefer Domains of Integer-Valued Polynomials (K.A. Loper, M. Syvuk).- Lobal Properties of Integral Domains (T.G. Lucas).- Topological aspects of irredundant intersections of ideals and valuation rings (B. Olberding).- Noetherian semigroup algebrasand beyond (J. Okninski).- Idempotent pairs and PRINC domains (G. Peruginelli, L. Salce, P. Zanardo).- Some recent results and open problems on sets of lengths of Krull monoids with finite class group (W.A. Schmid).- Factorizations of elements in noncommutative rings: A survey (D. Smertnig).

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• Geometria algébrica
• Álgebra
• Teoria dos números
• Grupos e teoria do grupo

commutative ring theory;factorization theory;multiplicative ideal theory;non-commutative algebra;class semigroup;quasi finite semigroup;catenary degree;tame degree;local tameness;weakly C-monoid;coherent domain;Krull domain;atomic domain;HFD;pseudovaluation domain;Zariski-Riemann space;valuation ring;spectral space;Dedekind domains