| Title:
|
Freely adjoining a complement to a lattice (English) |
| Author:
|
Grätzer, G. |
| Author:
|
Lakser, Harry |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
93-104 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06B10 |
| MSC:
|
06B25 |
| MSC:
|
06C15 |
| idZBL:
|
Zbl 1164.06308 |
| idMR:
|
MR2217582 |
| . |
| Date available:
|
2009-09-25T14:30:16Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131652 |
| . |
| Reference:
|
[1] ADAMS M. E- SICHLER J.: Cover set lattices.Canad. J. Math. 32 (1980), 1177-1205. MR 0596104 |
| Reference:
|
[2] ADAMS M. E.-SICHLER J.: Lattices with unique complementation.Pacific. J. Math. 92 (1981), 1-13. Zbl 0468.06005, MR 0618040 |
| Reference:
|
[3] CHEN C. C.-GRÄTZER G.: On the construction of complemented lattices.J. Algebra 11 (1969), 56-63. Zbl 0185.03701, MR 0232715 |
| Reference:
|
[4] CRAWLEY P.-DILWORTH R. P.: Algebraic Theory of Lattices.Prentice-Hall, Englewood Cliffs, NJ, 1973. Zbl 0494.06001 |
| Reference:
|
[5] DEAN R. A.: Free lattices generated by partially ordered sets and preserving bounds.Canad. J. Math. 16 (1964), 136-148. Zbl 0122.25801, MR 0157916 |
| Reference:
|
[6] DILWORTH R. P.: Lattices with unique complements.Trans. Amer. Math. Soc. 57 (1945), 123-154. Zbl 0060.06103, MR 0012263 |
| Reference:
|
[7] GRÄTZER G.: General Lattice Theory.(2nd ed.), Birkhäuser Verlag, Basel, 1998 (Soft-cover edition Birkhauser Verlag, Basel-Boston-Berlin, 2003). Zbl 0909.06002, MR 1670580 |
| Reference:
|
[8] GRÄTZER G.: A reduced free product of lattices.Fund. Math. 73 (1971/72), 21-27. Zbl 0229.06002, MR 0307986 |
| Reference:
|
[9] GRÄTZER G.-LAKSER H.: Freely adjoining a relative complement to a lattice.Algebra Universalis 53 (2005), 189-210. Zbl 1083.06011, MR 2148294 |
| Reference:
|
[10] GRÄTZER G.-LAKSER H.: Embedding lattices into m-transitively complemented lattices.(Manuscript). |
| Reference:
|
[11] GRÄTZER G.-LAKSER H.-PLATT C. R.: Free products of lattices.Fund. Math. 69 (1970), 233-240. Zbl 0206.29703, MR 0274351 |
| Reference:
|
[12] HUNTINGTON E. V.: Sets of independent postulates for the algebra of logic.Trans. Amer. Math. Soc. 79 (1904), 288-309. MR 1500675 |
| Reference:
|
[13] LAKSER H.: Free lattices generated by partially ordered sets.Ph.D. Thesis, University of Manitoba, 1968. MR 2702904 |
| Reference:
|
[14] SALII V. N.: Lattices with Unique Complements.Transl. Math. Monogr. 69, Amer. Math. Soc, Providence, RI. Zbl 0632.06009, MR 0931777 |
| Reference:
|
[15] WHITMAN P. M.: Free lattices. I; II.Ann. of Math. (2) 42; 43 (1941; 1942), 325-330; 104-115. MR 0003614 |
| . |
