Results 1 to 10 of about 53 (38)
The Order of Generalized Hypersubstitutions of Type τ=(2) [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 The order of hypersubstitutions, all idempotent elements on the monoid of all hypersubstitutions of type τ=(2) were studied by K. Denecke and Sh. L. Wismath and all idempotent elements on the monoid of all hypersubstitutions of type τ=(2,2) were studied ...
Wattapong Puninagool +1 more
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Green’s Relations on Submonoids of Generalized Hypersubstitutions of Type (n)
Discussiones Mathematicae - General Algebra and Applications, 2021 A generalized hypersubstitution of type τ = (n) is a function which takes the n-ary operation symbol f to the term of the same type σ(f ) which does not necessarily preserve the arity. Let HypG(n) be the set of all these generalized hypersubstitutions of
Kunama Pornpimol, Leeratanavalee Sorasak
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The Depth of Generalized Full Terms and Generalized Full Hypersubstitutions [PDF]
Algebra, 2013 We generalize the concept of a full term which was introduced by Denecke and Changphas and the concept of the depth of a hypersubstitution which was introduced by Denecke et al. to the depth of a generalized full term and the depth of a generalized full hypersubstitution and then derive the formular for its depth.
Sarawut Phuapong, Sorasak Leeratanavalee
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Complexity of terms, superpositions, and generalized hypersubstitutions
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sorasak Leeratanavalee
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Idempotent Elements of Weak Projection Generalized Hypersubstitutions
Discussiones Mathematicae - General Algebra and Applications, 2018 A generalized hypersubstitution of type τ = (ni)i∈I is a mapping σ which maps every operation symbol fi to the term σ (fi) and may not preserve arity.
Lekkoksung Nareupanat, Jampachon Prakit
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The Order of Normal Form Generalized Hypersubstitutions of Type τ = (2)
Kyungpook Mathematical Journal, 2014 In 2000, K. Denecke and K. Mahdavi showed that there are many idempotent elements in HypNφ(V ) the set of normal form hypersubstitutions of type = (2) which are not idempotent elements in Hyp(2) the set of all hypersubstitutions of type = (2). They considered in which varieties, idempotent elements of Hyp(2) are idempotent elements of HypNφ(V ).
Sivaree Sudsanit, Sorasak Leeratanavalee
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SUBMONOIDS OF GENERALIZED HYPERSUBSTITUTIONS
Demonstratio Mathematica, 2007 Sorasak Leeratanavalee
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The monoid of generalized hypersubstitutions of type τ = (n)
Discussiones Mathematicae - General Algebra and Applications, 2010 Sorasak Leeratanavalee
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Discussiones Mathematicae - General Algebra and Applications, 2021 The main purpose of this paper is to generalize the concept of linear terms. A linear term is a term in which every variable occurs at most once. K. Denecke defined partial operations on linear terms and partial clones.
Lekkoksung Nareupanat, Lekkoksung Somsak
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All intra-regular generalized hypersubstitutions of type (2) [PDF]
Acta Universitatis Sapientiae, Mathematica, 2019 AbstractA generalized hypersubstitution of type τ maps each operation symbol of the type to a term of the type, and can be extended to a mapping defined on the set of all terms of this type. The set of all such generalized hypersubstitutions forms a monoid. An element a of a semigroup S is intra-regular if there is b ∈ S such that a = baab.
Boonmee Ampika, Leeratanavalee Sorasak
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