Unit and idempotent additive maps over countable linear transformations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10488396" target="_blank" >RIV/00216208:11320/24:10488396 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=r~UJnG9zQd" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=r~UJnG9zQd</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.15672/hujms.1187608" target="_blank" >10.15672/hujms.1187608</a>

Result language

angličtina

Original language name

Unit and idempotent additive maps over countable linear transformations

Original language description

Let V be a countably generated right vector space over a field F and a E End(V F ) be a shift operator. We show that there exist a unit u and an idempotent e in End(V F ) such that 1 - u, a - u are units in End(V F ) and 1 - e, a - e are idempotents in End(V F ) . We also obtain that if D is a division ring D % Z 2 , Z 3 and V D is a D -module, then for every alpha E End(V D ) there exists a unit u E End(V D ) such that 1 - u, alpha - u are units in End(V D ) .

Czech name

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Czech description

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Type

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

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

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

Name of the periodical

Hacettepe journal of mathematics and statistics

ISSN

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e-ISSN

2651-477X

Volume of the periodical

53

Issue of the periodical within the volume

2

Country of publishing house

TR - TURKEY

Number of pages

9

Pages from-to

305-313

UT code for WoS article

001225022700001

EID of the result in the Scopus database

2-s2.0-85193010888