논문KCI 등재
Hyperidentities in $(xy)x \approx x(yy)$ graph algebras of type $(2,0)$
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Abstract
Graph algebras establish a connection between directed gra-phs without multiple edges and special universal algebras of type (2 ;0).We say that a graph G satises an identitys t if the correspondinggraph algebra A(G)satisess t. A graph G = ( V;E) is called an(xy)x x(y ) graph if the graph algebra A(G)satises the equation(xy)x x(y ). An identity s t of termss and t of any type iscalled a hyperidentity of an algebra Aif whenever the operation symbolsoccurring in s and t are replaced by any term operations of Aof theappropriate arity, the resulting identities hold in A.In this paper we characterize (xy)x x(y ) graph algebras, identitiesand hyperidentities in ( xy)x x(y ) graph algebras.
참고문헌 (10)
- "Hyperidentities in graph algebras Contributions toGeneral Algebra and Applications in Discrete Mathematics", pp.59~68 (1997), Potsdam
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- "Hyperidentities in some of vareties, in: General Algebra and discrete Math-ematics ed. by K. Denecke and O. L¨uders" (1995), Lemgo
- "Proper and inner hypersubstitutions of varieties Proceedings of the Interna-tional Conference Summer School on General Algebra and Ordered Sets 1994", Palack´yUniversity Olomouce 1994
- "Hyperidentities in associative graph algebras", 20(2), pp.169~182 (2000)
- "Hyperidentities in IdempotentGraph Algebras", 2(1), pp.173~182 (2004)
- "Hyperidentities in transitive graph algebras", 25(1), pp.23~37 (2005)
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관련 논문AI추천
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