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Article: Stable equivalence problems for free algebras with the nielsen-Schreier property
Title | Stable equivalence problems for free algebras with the nielsen-Schreier property |
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Authors | |
Issue Date | 2001 |
Publisher | World Scientific Publishing Co Pte Ltd. The Journal's web site is located at http://www.worldscinet.com/ijac/ijac.shtml |
Citation | International Journal Of Algebra And Computation, 2001, v. 11 n. 6, p. 779-786 How to Cite? |
Abstract | A variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras. For free algebras of finite ranks of Schreier varieties we prove that if two systems of elements are stably equivalent, then they are equivalent. We define the rank of an endomorphism of a free algebra of a Schreier variety and prove that an injective endomorphism of maximal rank does not change the rank of elements of maximal rank. |
Persistent Identifier | http://hdl.handle.net/10722/75324 |
ISSN | 2023 Impact Factor: 0.5 2023 SCImago Journal Rankings: 0.645 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mikhalev, AA | en_HK |
dc.contributor.author | Yu, JT | en_HK |
dc.date.accessioned | 2010-09-06T07:10:03Z | - |
dc.date.available | 2010-09-06T07:10:03Z | - |
dc.date.issued | 2001 | en_HK |
dc.identifier.citation | International Journal Of Algebra And Computation, 2001, v. 11 n. 6, p. 779-786 | en_HK |
dc.identifier.issn | 0218-1967 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75324 | - |
dc.description.abstract | A variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras. For free algebras of finite ranks of Schreier varieties we prove that if two systems of elements are stably equivalent, then they are equivalent. We define the rank of an endomorphism of a free algebra of a Schreier variety and prove that an injective endomorphism of maximal rank does not change the rank of elements of maximal rank. | en_HK |
dc.language | eng | en_HK |
dc.publisher | World Scientific Publishing Co Pte Ltd. The Journal's web site is located at http://www.worldscinet.com/ijac/ijac.shtml | en_HK |
dc.relation.ispartof | International Journal of Algebra and Computation | en_HK |
dc.title | Stable equivalence problems for free algebras with the nielsen-Schreier property | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0218-1967&volume=11&issue=6&spage=779&epage=786&date=2001&atitle=Stable+equivalence+problems+for+free+algebras+with+the+Nielsen-Schreier+property | en_HK |
dc.identifier.email | Yu, JT:yujt@hku.hk | en_HK |
dc.identifier.authority | Yu, JT=rp00834 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1142/S0218196701000747 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0035565081 | en_HK |
dc.identifier.hkuros | 66846 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0035565081&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 11 | en_HK |
dc.identifier.issue | 6 | en_HK |
dc.identifier.spage | 779 | en_HK |
dc.identifier.epage | 786 | en_HK |
dc.identifier.isi | WOS:000173975500007 | - |
dc.publisher.place | Singapore | en_HK |
dc.identifier.scopusauthorid | Mikhalev, AA=7007020926 | en_HK |
dc.identifier.scopusauthorid | Yu, JT=7405530208 | en_HK |
dc.identifier.issnl | 0218-1967 | - |