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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 195 - 211 (17page)
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Let A be a locally finite total algebra of finite type such that kA(a1,...,an) ≠ai for every operation kA, elements a1,..., an and 1 ≤i≤ n. We show that the weak subalgebra lattice of A uniquely determines its (strong) subalgebra lattice. More precisely, for any algebra B of the same finite type, if the weak subalgebra lattices of A and B are isomorphic, then their subalgebra lattices are also isomorphic. Moreover, B is also total and locally finite.
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참고문헌 (16)
참고문헌 신청
Bartol W. / 1990 / Weak subalgebra lattices / Comment. Math. Univ. Carolina 31 : 405 ~ 410
Bartol W. / 1990 / Weak subalgebra lattices of monounary partial algebras / Comment. Math. Univ. Carolinae 31 : 411 ~ 414
Bartol W. / 1992 / Lectures on Algebras, Equations and Partiality
Berge C. / 1973 / Graphs and Hypergraphs / North-Holland
Burmeister P. / 1986 / A Model Theoretic Oriented Approach to Partial Algebras / Akademie Verlag
Bartol W. / 1990 / Weak subalgebra lattices of monounary partial algebras / Comment. Math. Univ. Carolinae 31 : 411 ~ 414
Bartol W. / 1992 / Lectures on Algebras, Equations and Partiality
Berge C. / 1973 / Graphs and Hypergraphs / North-Holland
Burmeister P. / 1986 / A Model Theoretic Oriented Approach to Partial Algebras / Akademie Verlag
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