One-generated semirings and additive divisibility

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00108079" target="_blank" >RIV/00216224:14310/17:00108079 - isvavai.cz</a>

Result on the web

<a href="https://www.worldscientific.com/doi/abs/10.1142/S0219498817500384" target="_blank" >https://www.worldscientific.com/doi/abs/10.1142/S0219498817500384</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0219498817500384" target="_blank" >10.1142/S0219498817500384</a>

Result language

angličtina

Original language name

One-generated semirings and additive divisibility

Original language description

We study the structure of one-generated semirings from the symbolical point of view and their connections to numerical semigroups. We prove that such a semiring is additively divisible if and only if it is additively idempotent. We also show that every at most countable commutative semigroup is contained in the additive part of some one-generated semiring.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/GP13-29835P" target="_blank" >GP13-29835P: Structure of commutative semirings</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

JOURNAL OF ALGEBRA AND ITS APPLICATIONS

ISSN

0219-4988

e-ISSN

1793-6829

Volume of the periodical

16

Issue of the periodical within the volume

2

Country of publishing house

SG - SINGAPORE

Number of pages

22

Pages from-to

1-22

UT code for WoS article

000395323600018

EID of the result in the Scopus database

2-s2.0-84962770411