Ring Forms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F19%3A79500" target="_blank" >RIV/60460709:41310/19:79500 - isvavai.cz</a>
Result on the web
<a href="https://scholar.google.com/scholar_lookup?author=J%20Hora&atitle=RING%20FORMS&publication_year=2019&hl=en&journal=ITALIAN%20JOURNAL%20OF%20PURE%20AND%20APPLIED%20MATHEMATICS&issue=41&pages=628-636&issn=1126-8042" target="_blank" >https://scholar.google.com/scholar_lookup?author=J%20Hora&atitle=RING%20FORMS&publication_year=2019&hl=en&journal=ITALIAN%20JOURNAL%20OF%20PURE%20AND%20APPLIED%20MATHEMATICS&issue=41&pages=628-636&issn=1126-8042</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Ring Forms
Original language description
Determinant on a commutative ring of characteristics p can be extended by a linear mapping to provide a trilinear alternating form. We show some basic properties of such forms. If the underlying ring is a chain-ring, we compute dimensions of radicals of all vectors and thus prove nonequivalence of forms arising from chain-rings with different sizes of ideals. Moreover, in the case p = 2 we show that all three nondegenerate forms on dimension 6 are ring forms.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Italian Journal of Pure and Applied Mathematics
ISSN
1126-8042
e-ISSN
2239-0227
Volume of the periodical
41
Issue of the periodical within the volume
February 2019
Country of publishing house
IT - ITALY
Number of pages
9
Pages from-to
628-636
UT code for WoS article
000461053300055
EID of the result in the Scopus database
2-s2.0-85063918964