Results 41 to 50 of about 119 (83)

Algebras of full terms constructed from transformations with fixed set [PDF]

open access: yes
Based on the notion of full transformations with fixed set, in this paper, we present a novel concept of $n$-ary $Fix(I_n,Y)$-full terms. This term can be considered as a generalization of strongly full terms, permutational full terms and full terms ...
Changphas, Thawhat   +2 more
core   +1 more source

Locally finite M-solid varieties of semigroups [PDF]

open access: yes, 2003
An algebra of type τ is said to be locally finite if all its finitely generated subalgebras are finite. A class K of algebras of type τ is called locally finite if all its elements are locally finite. It is well-known (see [2]) that a variety of algebras
Pibaljommee, Bundit, Denecke, Klaus
core   +1 more source

Human Hypersubstitution Theory: Critical Rehumanization in Algorithmic Ecosystems

open access: yes
The rise of autonomous algorithmic systems has been reconfiguring the ontological, epistemological, and relational foundations of the human condition.
Marcelo Salvador Celestino   +2 more
core  

Orders of Generalized Hypersubstitutions of Type τ = (3)

open access: yes, 2020
The concept of generalized hypersubstitutions was introduced by S. Leeratanavalee and K. Denecke in 2000. We used it as the tool to study strong hyperidentities and strongly solid varieties.
Sivaree Sudsanit, Sorasak Leeratanavalee
core  

The partial clone of linear formulas

open access: yes, 2019
A term t is linear if no variable occurs more than once in t. An identity s ≈ t is said to be linear if s and t are linear terms. Identities are particular formulas. As for terms superposition operations can be defined for formulas too.
Denecke, Klaus-Dieter (Prof. Dr. rer. nat habils Dr. h.c.)
core   +1 more source

LEFT SYMMETRIC LEFT DISTRIBUTIVE MAGMAS AND HYPERSUBSTITUTIONS

open access: yesDemonstratio Mathematica, 2006
The author generalizes results reached by \textit{Sr. Arworn} and \textit{K. Denecke}, [Demonstr. Math. 32, No. 4, 677-686 (1999; Zbl 0955.08006)], and \textit{A. Vanzurová} [Contrib. Gen. Algebra 14, 173-187 (Zbl 1067.20083)]. Dropping idempotency the author obtains a generalization, the variety SD of left symmetric left distributive groupoids.
openaire   +2 more sources

Proper P-compatible hypersubstitutions

open access: yes, 2016
Let \(F=\{f_i\mid i\in I\}\) be a set of operation symbols of a type \(\tau\) and \(P\) a partition on \(F\). An equation \(s\approx t\) of terms of type \(\tau\) is called \(P\)-compatible if it has the form \(x\approx x\) or \(f_i(t_1,\dots,t_{n_i})\approx f_j(t_1',\dots,t_{n_j}')\) where \(f_i\) and \(f_j\) belong to the same \(P\)-block.
Denecke, Klaus   +1 more
openaire   +2 more sources

Multi-solid varieties and Mh-transducers

open access: yes, 2007
We consider the concepts of colored terms and multi-hypersubstitutions. If t∈Wτ(X) is a term of type τ, then any mapping αt:PosF(t)→N of the non-variable positions of a term into the set of natural numbers is called a coloration of t.
Shtrakov, S.
core   +2 more sources

Green's relation R on the monoid of clone endomorphisms

open access: yes, 2005
A hypersubstitution is a map which takes n-ary operation symbols to n-ary terms. Any such map can be uniquely extended to a map defined on the set W-tau(X) of all terms of type tau, and any two such extensions can be composed in a natural way.
Denecke, Klaus-Dieter   +1 more
core  

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