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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2005.1
- 수록면
- 33 - 43 (11page)
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초록· 키워드
오류제보하기
Clones are sets of operations which are closed under composition and contain all projections. Identities of clones of term operations of a given algebra correspond to hyperidentities of this algebra, i.e., to identities which are satisfied after any replacements of fundamental operations by derived operations ([7]). If any identity of an algebra is satisfied as a hyperidentity, the algebra is called solid ([3]). Solid algebras correspond to free clones. These connections will be extended to so-called generalized clones, to strong hyperidentities and to strongly solid varieties. On the basis of a generalized superposition operation for terms we generalize the concept of a unitary Menger algebra of finite rank([6]) to unitary Menger algebras with infinitely many nullary operations and prove that strong hyperidentities correspond to identities in free unitary Menger algebras with infinitely many nullary operations.
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참고문헌 (4)
참고문헌 신청
/ / Independence in Abstract Algebras, Results and Problems : 169 ~ 188
/ 1996 / solid Varieties^Q-fre clones^Math. Slovaca 46 (5) : 515 ~ 524
/ 2000 / Generalized hypersubstitutions and stronglysolid Varieties, General Algebra and Applications, Proceedings of the 59th Work-shop on General Algebra,
/ 2000 / Hyperidentities and Clonesm
/ 1996 / solid Varieties^Q-fre clones^Math. Slovaca 46 (5) : 515 ~ 524
/ 2000 / Generalized hypersubstitutions and stronglysolid Varieties, General Algebra and Applications, Proceedings of the 59th Work-shop on General Algebra,
/ 2000 / Hyperidentities and Clonesm
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