Matches in SemOpenAlex for { <https://semopenalex.org/work/W3021995837> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W3021995837 abstract "Publisher SummaryThis chapter focuses on Problem III and its regular solutions. It presents the theorem for four P-linear polynomials. In a subset T of a commutative semigroup S, the theorem for four elements holds if from the supposition αδ = βγ, where α, β, γ, δ є T, and the existence of four further elements, χ, λ, μ, ν є T such that α = χ λ, δ = μν, β = χμ, and γ = λν follows. If the same is true for T= S, then the theorem for four elements holds in S. The chapter illustrates the circumstances of the theorem for four elements in which each of the four given elements is equal to the product of the two cyclically neighbouring elements. The chapter also discusses the property that is responsible for the validity of the theorem for four elements. A solution A solution f(x)of Problem III is called regular if there exists a successor chain with the initial term f(x) and with a linear last term. With the aid of Proposition 33, it is easy to construct all the regular solutions of Problem III." @default.
- W3021995837 created "2020-05-13" @default.
- W3021995837 creator A5059047308 @default.
- W3021995837 date "1973-01-01" @default.
- W3021995837 modified "2023-09-27" @default.
- W3021995837 title "PROBLEM III" @default.
- W3021995837 doi "https://doi.org/10.1016/b978-0-7204-2050-0.50008-2" @default.
- W3021995837 hasPublicationYear "1973" @default.
- W3021995837 type Work @default.
- W3021995837 sameAs 3021995837 @default.
- W3021995837 citedByCount "0" @default.
- W3021995837 crossrefType "book-chapter" @default.
- W3021995837 hasAuthorship W3021995837A5059047308 @default.
- W3021995837 hasConcept C111472728 @default.
- W3021995837 hasConcept C114614502 @default.
- W3021995837 hasConcept C118615104 @default.
- W3021995837 hasConcept C121332964 @default.
- W3021995837 hasConcept C134306372 @default.
- W3021995837 hasConcept C138885662 @default.
- W3021995837 hasConcept C183778304 @default.
- W3021995837 hasConcept C189950617 @default.
- W3021995837 hasConcept C202444582 @default.
- W3021995837 hasConcept C207405024 @default.
- W3021995837 hasConcept C2524010 @default.
- W3021995837 hasConcept C33923547 @default.
- W3021995837 hasConcept C61797465 @default.
- W3021995837 hasConcept C62520636 @default.
- W3021995837 hasConcept C75306776 @default.
- W3021995837 hasConcept C90673727 @default.
- W3021995837 hasConceptScore W3021995837C111472728 @default.
- W3021995837 hasConceptScore W3021995837C114614502 @default.
- W3021995837 hasConceptScore W3021995837C118615104 @default.
- W3021995837 hasConceptScore W3021995837C121332964 @default.
- W3021995837 hasConceptScore W3021995837C134306372 @default.
- W3021995837 hasConceptScore W3021995837C138885662 @default.
- W3021995837 hasConceptScore W3021995837C183778304 @default.
- W3021995837 hasConceptScore W3021995837C189950617 @default.
- W3021995837 hasConceptScore W3021995837C202444582 @default.
- W3021995837 hasConceptScore W3021995837C207405024 @default.
- W3021995837 hasConceptScore W3021995837C2524010 @default.
- W3021995837 hasConceptScore W3021995837C33923547 @default.
- W3021995837 hasConceptScore W3021995837C61797465 @default.
- W3021995837 hasConceptScore W3021995837C62520636 @default.
- W3021995837 hasConceptScore W3021995837C75306776 @default.
- W3021995837 hasConceptScore W3021995837C90673727 @default.
- W3021995837 hasLocation W30219958371 @default.
- W3021995837 hasOpenAccess W3021995837 @default.
- W3021995837 hasPrimaryLocation W30219958371 @default.
- W3021995837 hasRelatedWork W2023289084 @default.
- W3021995837 hasRelatedWork W2070225258 @default.
- W3021995837 hasRelatedWork W2072351249 @default.
- W3021995837 hasRelatedWork W2080823203 @default.
- W3021995837 hasRelatedWork W2081572779 @default.
- W3021995837 hasRelatedWork W2097259963 @default.
- W3021995837 hasRelatedWork W2189126027 @default.
- W3021995837 hasRelatedWork W2314885168 @default.
- W3021995837 hasRelatedWork W2320513120 @default.
- W3021995837 hasRelatedWork W2322128109 @default.
- W3021995837 hasRelatedWork W2324022272 @default.
- W3021995837 hasRelatedWork W2331082091 @default.
- W3021995837 hasRelatedWork W2335574871 @default.
- W3021995837 hasRelatedWork W2492748454 @default.
- W3021995837 hasRelatedWork W251276422 @default.
- W3021995837 hasRelatedWork W2808728387 @default.
- W3021995837 hasRelatedWork W2809448349 @default.
- W3021995837 hasRelatedWork W3093432445 @default.
- W3021995837 hasRelatedWork W3165382499 @default.
- W3021995837 hasRelatedWork W850216131 @default.
- W3021995837 isParatext "false" @default.
- W3021995837 isRetracted "false" @default.
- W3021995837 magId "3021995837" @default.
- W3021995837 workType "book-chapter" @default.