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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 617 - 629 (13page)
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초록· 키워드
오류제보하기
A term is called linear if each variable which occurs in the term, occurs only once. A hypersubstitution is said to be linear if it maps any operation symbol to a linear term of the same arity. Linear hypersubstitutions have some importance in Theoretical Computer Science since they preserve recognizability [7]. We show that the collection of all linear hypersubstitutions forms a monoid. Linear hypersubstitutions are used to de ne linear hyperidentities. The set of all linear term operations of a given algebra forms with respect to certain superposition operations a function algebra. Hypersubstitutions de ne endomorphisms on this function algebra.
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참고문헌 (11)
참고문헌 신청
M. N. Bleicher / 1973 / Permanence of identities on algebras / Algebra Universalis 3:72~93
P. Burmeister / 1986 / A model theoretic oriented approach to partial algebras. Introduction to theory and application of partial algebras Part I / Akademie-Verlag
I. Chajda / 2013 / Tolerances as images of congruences in varieties defined by linear identities / Algebra Universalis 69:167~169
M. Couceiro / 2012 / Galois theory for sets of operations closed under permuta-tion, cylindrification and compos / Algebra Universalis 67:273~297
K. Denecke / 2000 / Hyperidentities and clones / Gordon and Breach Science Publishers
P. Burmeister / 1986 / A model theoretic oriented approach to partial algebras. Introduction to theory and application of partial algebras Part I / Akademie-Verlag
I. Chajda / 2013 / Tolerances as images of congruences in varieties defined by linear identities / Algebra Universalis 69:167~169
M. Couceiro / 2012 / Galois theory for sets of operations closed under permuta-tion, cylindrification and compos / Algebra Universalis 67:273~297
K. Denecke / 2000 / Hyperidentities and clones / Gordon and Breach Science Publishers
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