Matches in SemOpenAlex for { <https://semopenalex.org/work/W4301888965> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W4301888965 abstract "We consider algebras over a field K, generated by two variables x and y subject to the single relation yx = qxy + ax + by + c for q in K^* and a, b, c in K. We prove, that among such algebras there are precisely five isomorphism classes. The representatives of these classes, which are ubiquitous operator algebras, are called model algebras. We derive explicit multiplication formulas for y^m*x^n in terms of standard monomials x^i*y^j for many algebras of the considered type. Such formulas are used in establishing formulas of binomial type and in implementing non-commutative multiplication in a computer algebra system. By using the formulas we also study centers and ring-theoretic properties of the non-commutative model algebras." @default.
- W4301888965 created "2022-10-06" @default.
- W4301888965 creator A5044005328 @default.
- W4301888965 creator A5057169112 @default.
- W4301888965 creator A5059697607 @default.
- W4301888965 date "2011-08-04" @default.
- W4301888965 modified "2023-09-28" @default.
- W4301888965 title "On Two-generated Non-commutative Algebras Subject to the Affine Relation" @default.
- W4301888965 doi "https://doi.org/10.48550/arxiv.1108.1108" @default.
- W4301888965 hasPublicationYear "2011" @default.
- W4301888965 type Work @default.
- W4301888965 citedByCount "0" @default.
- W4301888965 crossrefType "posted-content" @default.
- W4301888965 hasAuthorship W4301888965A5044005328 @default.
- W4301888965 hasAuthorship W4301888965A5057169112 @default.
- W4301888965 hasAuthorship W4301888965A5059697607 @default.
- W4301888965 hasBestOaLocation W43018889651 @default.
- W4301888965 hasConcept C105795698 @default.
- W4301888965 hasConcept C11252640 @default.
- W4301888965 hasConcept C114614502 @default.
- W4301888965 hasConcept C115624301 @default.
- W4301888965 hasConcept C118615104 @default.
- W4301888965 hasConcept C136119220 @default.
- W4301888965 hasConcept C14394260 @default.
- W4301888965 hasConcept C161491579 @default.
- W4301888965 hasConcept C178790620 @default.
- W4301888965 hasConcept C183778304 @default.
- W4301888965 hasConcept C185592680 @default.
- W4301888965 hasConcept C18903297 @default.
- W4301888965 hasConcept C202444582 @default.
- W4301888965 hasConcept C203436722 @default.
- W4301888965 hasConcept C207264727 @default.
- W4301888965 hasConcept C25343380 @default.
- W4301888965 hasConcept C2777299769 @default.
- W4301888965 hasConcept C2780378348 @default.
- W4301888965 hasConcept C2780595030 @default.
- W4301888965 hasConcept C2781315470 @default.
- W4301888965 hasConcept C33923547 @default.
- W4301888965 hasConcept C41008148 @default.
- W4301888965 hasConcept C518143113 @default.
- W4301888965 hasConcept C77088390 @default.
- W4301888965 hasConcept C8010536 @default.
- W4301888965 hasConcept C86803240 @default.
- W4301888965 hasConcept C92757383 @default.
- W4301888965 hasConcept C9652623 @default.
- W4301888965 hasConceptScore W4301888965C105795698 @default.
- W4301888965 hasConceptScore W4301888965C11252640 @default.
- W4301888965 hasConceptScore W4301888965C114614502 @default.
- W4301888965 hasConceptScore W4301888965C115624301 @default.
- W4301888965 hasConceptScore W4301888965C118615104 @default.
- W4301888965 hasConceptScore W4301888965C136119220 @default.
- W4301888965 hasConceptScore W4301888965C14394260 @default.
- W4301888965 hasConceptScore W4301888965C161491579 @default.
- W4301888965 hasConceptScore W4301888965C178790620 @default.
- W4301888965 hasConceptScore W4301888965C183778304 @default.
- W4301888965 hasConceptScore W4301888965C185592680 @default.
- W4301888965 hasConceptScore W4301888965C18903297 @default.
- W4301888965 hasConceptScore W4301888965C202444582 @default.
- W4301888965 hasConceptScore W4301888965C203436722 @default.
- W4301888965 hasConceptScore W4301888965C207264727 @default.
- W4301888965 hasConceptScore W4301888965C25343380 @default.
- W4301888965 hasConceptScore W4301888965C2777299769 @default.
- W4301888965 hasConceptScore W4301888965C2780378348 @default.
- W4301888965 hasConceptScore W4301888965C2780595030 @default.
- W4301888965 hasConceptScore W4301888965C2781315470 @default.
- W4301888965 hasConceptScore W4301888965C33923547 @default.
- W4301888965 hasConceptScore W4301888965C41008148 @default.
- W4301888965 hasConceptScore W4301888965C518143113 @default.
- W4301888965 hasConceptScore W4301888965C77088390 @default.
- W4301888965 hasConceptScore W4301888965C8010536 @default.
- W4301888965 hasConceptScore W4301888965C86803240 @default.
- W4301888965 hasConceptScore W4301888965C92757383 @default.
- W4301888965 hasConceptScore W4301888965C9652623 @default.
- W4301888965 hasLocation W43018889651 @default.
- W4301888965 hasLocation W43018889652 @default.
- W4301888965 hasLocation W43018889653 @default.
- W4301888965 hasOpenAccess W4301888965 @default.
- W4301888965 hasPrimaryLocation W43018889651 @default.
- W4301888965 hasRelatedWork W1880752286 @default.
- W4301888965 hasRelatedWork W1954846941 @default.
- W4301888965 hasRelatedWork W1986264951 @default.
- W4301888965 hasRelatedWork W1986638380 @default.
- W4301888965 hasRelatedWork W2061776474 @default.
- W4301888965 hasRelatedWork W2071709946 @default.
- W4301888965 hasRelatedWork W2952042204 @default.
- W4301888965 hasRelatedWork W3015566090 @default.
- W4301888965 hasRelatedWork W4301888965 @default.
- W4301888965 hasRelatedWork W996118216 @default.
- W4301888965 isParatext "false" @default.
- W4301888965 isRetracted "false" @default.
- W4301888965 workType "article" @default.