MAXIMALITY PROPERTIES IN NUMERICAL SEMIGROUPS AND APPLICATIONS TO ONE-DIMENSIONAL - ANALYTICALLY IRREDUCIBLE LOCAL DOMAINS - INTRODUCTION

Authors
BARUCCI V DOBBS DE FONTANA M
Citation
V. Barucci et al., MAXIMALITY PROPERTIES IN NUMERICAL SEMIGROUPS AND APPLICATIONS TO ONE-DIMENSIONAL - ANALYTICALLY IRREDUCIBLE LOCAL DOMAINS - INTRODUCTION, Memoirs of the American Mathematical Society, 125(598), 1997, pp. 9
Citations number
67
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Memoirs of the American Mathematical Society → ACNP
ISSN journal
00659266
Volume
125
Issue
598
Year of publication
1997
Database
ISI
SICI code
0065-9266(1997)125:598<9:MPINSA>2.0.ZU;2-Q
Abstract
In Chapter I, various (numerical) semigroup-theoretic concepts and con structions are introduced and characterized. Applications in Chapter I I are made to the study of Noetherian local one-dimensional analytical ly irreducible integral domains, especially for the Gorenstein, maxima l embedding dimension, and Arf cases, as well as to the so-called Kunz case, a pervasive kind of domain of Cohen-Macaulay type 2.