Decomposition and classification of length functions-Reference-Cited by-同舟云学术

Decomposition and classification of length functions

Published:2020-09-01 Issue:5 Volume:32 Page:1109-1129
ISSN:1435-5337
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Spirito Dario¹

Affiliation:

1. Dipartimento di Matematica e Fisica, Università degli Studi “Roma Tre”, Roma; and Dipartimento di Matematica “Tullio Levi-Civita”, Università di Padova, Padova, Italy

Abstract

AbstractWe study decompositions of length functions on integral domains as sums of length functions constructed from overrings. We find a standard representation when the integral domain admits a Jaffard family, when it is Noetherian and when it is a Prüfer domains such that every ideal has only finitely many minimal primes. We also show that there is a natural bijective correspondence between singular length functions and localizing systems.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2018-0168/pdf

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