Multiplicative Ideal Theory and Factorization Theory

512.44

Multiplicative Ideal Theory and Factorization Theory Commutative and Non-commutative Perspectives / edited by Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding. -
XIV, 407 p. 4 illus. online resource. - (Springer Proceedings in Mathematics & Statistics, 170) Content notes : 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) -- 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. García-Sánchez).-Arithmetic of Mori domains and monoids: The global case (F. Kainrath) -- Prüfer 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 algebras and beyond (J. Okniński) -- 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). 9783319388557 * Algebra. Number theory. Group theory. Geometry, algebraic. Commutative Rings and Algebras. Number Theory. Group Theory and Generalizations. Associative Rings and Algebras. Algebraic Geometry. * Chapman, Scott., edt, http://id.loc.gov/vocabulary/relators/edtFontana, Marco., edt, http://id.loc.gov/vocabulary/relators/edtGeroldinger, Alfred., edt, http://id.loc.gov/vocabulary/relators/edtOlberding, Bruce., edt, http://id.loc.gov/vocabulary/relators/edt * Title * Series