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Title: | Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts | Authors: | Costa, Alfredo | Issue Date: | 2007 | Citation: | Journal of Pure and Applied Algebra. 209:2 (2007) 517-530 | Abstract: | For a pseudovariety of ordered semigroups, let be the class of sofic subshifts whose syntactic semigroup lies in . It is proved that if contains then is closed under taking shift equivalent subshifts, and conversely, if is closed under taking conjugate subshifts then contains and . Almost finite type subshifts are characterized as the irreducible elements of , which gives a new proof that the class of almost finite type subshifts is closed under taking shift equivalent subshifts. | URI: | https://hdl.handle.net/10316/4605 | DOI: | 10.1016/j.jpaa.2006.06.016 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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