Lattice-like structures derived from rings

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A33116232" target="_blank" >RIV/61989592:15310/11:33116232 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Lattice-like structures derived from rings

Original language description

We study lattice-like operations that are term operations in certain rings with restricted powers of elements. We show that every ring with unit satisfying the identity x^{p+1} = x^p for some integer p}=1 is in fact a Boolean ring. However, if it satis es x^{p+2} = x^p for some integer p }= 2 then it need not be Boolean, but certain lattice-like operations can be introduced such that the original ring can be reconstructed by means of these operations.

Czech name

—

Czech description

—

Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

—

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

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

Article name in the collection

Contributions to general algebra 20

ISBN

978-3-7084-0447-9

ISSN

—

e-ISSN

—

Number of pages

8

Pages from-to

11-18

Publisher name

Verlag Johannes Heyn

Place of publication

Klagenfurt

Event location

Salzburg

Event date

Feb 3, 2011

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

—