POWER SERIES RINGS OVER PRÜFER v-MULTIPLICATION DOMAINS
Author(s) -
Gyu Whan Chang
Publication year - 2016
Publication title -
journal of the korean mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 31
eISSN - 2234-3008
pISSN - 0304-9914
DOI - 10.4134/jkms.2016.53.2.447
Subject(s) - mathematics , domain (mathematical analysis) , integral domain , multiplication (music) , ring (chemistry) , series (stratigraphy) , power series , combinatorics , krull dimension , discrete mathematics , algebra over a field , pure mathematics , mathematical analysis , field (mathematics) , noetherian , chemistry , paleontology , organic chemistry , biology
Let D be an integral domain, {} be a nonempty set of indeterminates over D, and be the first type power series ring over D. We show that if D is a t-SFT v-multiplication domain, then is a Krull domain, and is a v-multiplication domain if and only if D is a Krull domain.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom