The partial clone of linear terms
| العنوان: | The partial clone of linear terms |
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| المؤلفون: | Klaus Denecke |
| المصدر: | Siberian Mathematical Journal. 57:589-598 |
| بيانات النشر: | Pleiades Publishing Ltd, 2016. |
| سنة النشر: | 2016 |
| مصطلحات موضوعية: | Endomorphism, General Mathematics, 010102 general mathematics, Institut für Mathematik, Quotient algebra, Term (logic), 01 natural sciences, 010101 applied mathematics, Combinatorics, Identity (mathematics), Superposition principle, Clone (algebra), Mathematics::Metric Geometry, 0101 mathematics, Variety (universal algebra), Vector space, Mathematics |
| الوصف: | Generalizing a linear expression over a vector space, we call a term of an arbitrary type tau linear if its every variable occurs only once. Instead of the usual superposition of terms and of the total many-sorted clone of all terms in the case of linear terms, we define the partial many-sorted superposition operation and the partial many-sorted clone that satisfies the superassociative law as weak identity. The extensions of linear hypersubstitutions are weak endomorphisms of this partial clone. For a variety V of one-sorted total algebras of type tau, we define the partial many-sorted linear clone of V as the partial quotient algebra of the partial many-sorted clone of all linear terms by the set of all linear identities of V. We prove then that weak identities of this clone correspond to linear hyperidentities of V. |
| تدمد: | 1573-9260 0037-4466 |
| DOI: | 10.1134/s0037446616040030 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9dae65e8f3b61d1d9cd3765ba3709c7e https://doi.org/10.1134/s0037446616040030 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi.dedup.....9dae65e8f3b61d1d9cd3765ba3709c7e |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15739260 00374466 |
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| DOI: | 10.1134/s0037446616040030 |