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http://hdl.handle.net/1942/3184
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DC Field | Value | Language |
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dc.contributor.author | Gateva-Ivanova, T | - |
dc.contributor.author | VAN DEN BERGH, Michel | - |
dc.date.accessioned | 2007-11-27T08:36:47Z | - |
dc.date.available | 2007-11-27T08:36:47Z | - |
dc.date.issued | 1998 | - |
dc.identifier.citation | JOURNAL OF ALGEBRA, 206(1). p. 97-112 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | http://hdl.handle.net/1942/3184 | - |
dc.description.abstract | Assume that S is a semigroup generated by {x(1),..., x(n)}, and let U be the multiplicative free commutative semigroup generated by {u(1),..., u(n)}. We say that S is of I-type if there is a bijective upsilon : U --> S such that for all a is an element of U, {upsilon(u(1)a),..., upsilon(u(n)a)} = {x(1)upsilon(a),..., x(n)upsilon(a)}. This condition appeared naturally in the work on Sklyanin algebras by John Tate and the second author. In this paper we show that the condition for a semigroup to be of I-type is related to various other mathematical notions found in the literature. In particular we show that semigroups of I-type appear in the study of the set-theoretic solutions of the Yang-Baxter equation, in the theory of Bieberbach groups, and in the study of certain skew binomial polynomial rings which were introduced by the first author. (C) 1998 Academic Press. | - |
dc.format.extent | 165257 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC | - |
dc.title | Semigroups of I-type | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 112 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 97 | - |
dc.identifier.volume | 206 | - |
local.format.pages | 16 | - |
dc.description.notes | Bulgarian Acad Sci, Inst Math, Sect Algebra, Sofia 113, Bulgaria. Limburgs Univ Centrum, Dept WNI, B-3590 Diepenbeek, Belgium.Gateva-Ivanova, T, Bulgarian Acad Sci, Inst Math, Sect Algebra, Sofia 113, Bulgaria. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.isi | 000075260600007 | - |
item.fulltext | With Fulltext | - |
item.contributor | Gateva-Ivanova, T | - |
item.contributor | VAN DEN BERGH, Michel | - |
item.accessRights | Open Access | - |
item.fullcitation | Gateva-Ivanova, T & VAN DEN BERGH, Michel (1998) Semigroups of I-type. In: JOURNAL OF ALGEBRA, 206(1). p. 97-112. | - |
item.validation | ecoom 1999 | - |
Appears in Collections: | Research publications |
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0308071v1.pdf | 161.38 kB | Adobe PDF | View/Open |
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