Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras
The present paper is devoted to estimating the codimensions c n for the variety of associative algebras given by the identity [ x 1 , …, x l ] = 0 for odd l . The characteristic of the ground field is different from 2 and 3. The construction of the so-called extended Grassmann algebra is applied ver...
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| Veröffentlicht in: | Mathematical Notes 2020-05, Vol.107 (5-6), p.933-938 |
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| container_title | Mathematical Notes |
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| creator | Grishin, A. V. |
| description | The present paper is devoted to estimating the codimensions
c
n
for the variety of associative algebras given by the identity [
x
1
, …,
x
l
] = 0 for odd
l
. The characteristic of the ground field is different from 2 and 3. The construction of the so-called
extended Grassmann algebra
is applied very effectively. |
| doi_str_mv | 10.1134/S0001434620050235 |
| format | Article |
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c
n
for the variety of associative algebras given by the identity [
x
1
, …,
x
l
] = 0 for odd
l
. The characteristic of the ground field is different from 2 and 3. The construction of the so-called
extended Grassmann algebra
is applied very effectively.</description><identifier>ISSN: 0001-4346</identifier><identifier>ISSN: 1067-9073</identifier><identifier>EISSN: 1573-8876</identifier><identifier>DOI: 10.1134/S0001434620050235</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Algebra ; Asymptotic properties ; Mathematics ; Mathematics and Statistics ; Vector spaces</subject><ispartof>Mathematical Notes, 2020-05, Vol.107 (5-6), p.933-938</ispartof><rights>Pleiades Publishing, Ltd. 2020</rights><rights>Pleiades Publishing, Ltd. 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c268t-cb274d37dc6d36fe02070bf6fece24e64d53b22a4844a2a2dc75336446687d183</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0001434620050235$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0001434620050235$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Grishin, A. V.</creatorcontrib><title>Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras</title><title>Mathematical Notes</title><addtitle>Math Notes</addtitle><description>The present paper is devoted to estimating the codimensions
c
n
for the variety of associative algebras given by the identity [
x
1
, …,
x
l
] = 0 for odd
l
. The characteristic of the ground field is different from 2 and 3. The construction of the so-called
extended Grassmann algebra
is applied very effectively.</description><subject>Algebra</subject><subject>Asymptotic properties</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Vector spaces</subject><issn>0001-4346</issn><issn>1067-9073</issn><issn>1573-8876</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLAzEUhYMoWKs_wF3A9Whek8y2lrYKg4KPpQyZ5E5Nmc6MSVrsvzelogtxdR_nO_fCQeiSkmtKubh5JoRQwYVkhOSE8fwIjWiueFYUSh6j0V7O9vopOgthlSYqKRmht0nYrYfYR2fwLbzrres9dh0uHeAH1w59hC7iJ2h1dFtod3juAfCkXULtdcC6s3j2mRgLFi_SJqx11_3o5-ik0W2Ai-86Rq_z2cv0LisfF_fTSZkZJouYmZopYbmyRlouGyCMKFI3qTPABEhhc14zpkUhhGaaWaNyzqUQUhbK0oKP0dXh7uD7jw2EWK36je_Sy4oJqkhKQolE0QNlfB-Ch6YavFtrv6soqfYpVn9STB528ITEdkvwv5f_N30B5qhy-w</recordid><startdate>20200501</startdate><enddate>20200501</enddate><creator>Grishin, A. V.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20200501</creationdate><title>Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras</title><author>Grishin, A. V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c268t-cb274d37dc6d36fe02070bf6fece24e64d53b22a4844a2a2dc75336446687d183</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Algebra</topic><topic>Asymptotic properties</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Vector spaces</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Grishin, A. V.</creatorcontrib><collection>CrossRef</collection><jtitle>Mathematical Notes</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grishin, A. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras</atitle><jtitle>Mathematical Notes</jtitle><stitle>Math Notes</stitle><date>2020-05-01</date><risdate>2020</risdate><volume>107</volume><issue>5-6</issue><spage>933</spage><epage>938</epage><pages>933-938</pages><issn>0001-4346</issn><issn>1067-9073</issn><eissn>1573-8876</eissn><abstract>The present paper is devoted to estimating the codimensions
c
n
for the variety of associative algebras given by the identity [
x
1
, …,
x
l
] = 0 for odd
l
. The characteristic of the ground field is different from 2 and 3. The construction of the so-called
extended Grassmann algebra
is applied very effectively.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0001434620050235</doi><tpages>6</tpages></addata></record> |
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| identifier | ISSN: 0001-4346 |
| ispartof | Mathematical Notes, 2020-05, Vol.107 (5-6), p.933-938 |
| issn | 0001-4346 1067-9073 1573-8876 |
| language | eng |
| recordid | cdi_proquest_journals_2417015774 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Algebra Asymptotic properties Mathematics Mathematics and Statistics Vector spaces |
| title | Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras |
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