التفاصيل البيبلوغرافية
| العنوان: |
Strictly locally order affine complete lattices. |
| المؤلفون: |
Kaarli, Kalle, Täht, Karin |
| المصدر: |
Order; Sep1993, Vol. 10 Issue 3, p261-270, 10p |
| مستخلص: |
We call a lattice L strictly locally order-affine complete if, given a finite subsemilattice S of L, every function f: S → L which preserves congruences and order, is a polynomial function. The main results are the following: (1) all relatively complemented lattices are strictly locally order-affine complete; (2) a finite modular lattice is strictly locally order-affine complete if and only if it is relatively complemented. These results extend and generalize the earlier results of D. Dorninger [2] and R. Wille [9, 10]. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
