Title:
|
Principal element lattices (English) |
Author:
|
Anderson, D. D. |
Author:
|
Jayaram, C. |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
46 |
Issue:
|
1 |
Year:
|
1996 |
Pages:
|
99-109 |
. |
Category:
|
math |
. |
MSC:
|
06B05 |
MSC:
|
06F10 |
MSC:
|
16Y60 |
idZBL:
|
Zbl 0898.06008 |
idMR:
|
MR1371692 |
DOI:
|
10.21136/CMJ.1996.127274 |
. |
Date available:
|
2009-09-24T09:54:21Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127274 |
. |
Reference:
|
[1] D. D. Anderson: Abstract commutative ideal theory without chain condition.Algebra Universalis 6 (1976), 131–145. Zbl 0355.06022, MR 0419310, 10.1007/BF02485825 |
Reference:
|
[2] D. D. Anderson, C. Jayaram and F. Alarcon: Some results on abstract commutative ideal theory.Studia Sci. Math. Hung 30 (1995), 1–26. MR 1318850 |
Reference:
|
[3] D. D. Anderson, J. Matijevic and W. Nichols: The Krull Intersection Theorem II.Pacific J. Math. 66 (1976), 15–22. MR 0435062, 10.2140/pjm.1976.66.15 |
Reference:
|
[4] R. P. Dilworth: Abstract commutative ideal theory.Pacific J. Math. 12 (1962), 481–498. Zbl 0111.04104, MR 0143781, 10.2140/pjm.1962.12.481 |
Reference:
|
[5] E. W. Johnson and J. A. Johnson: $P$-lattices as ideal lattices and submodule lattices.Commen. Math. Univ. San. Pauli. 38 (1989), 21–27. MR 0998864 |
Reference:
|
[6] E. W. Johnson and J. P. Lediaev: Join principal elements and the principal ideal theorem.Michigan Math. J. 17 (1970), 255–256. MR 0263710, 10.1307/mmj/1029000473 |
Reference:
|
[7] J. L. Mott: Multiplication rings containing only finitely many minimal prime ideals.Jour. Sci. Hiroshima. Univ. Ser. A-I. 33 (1969), 73–83. Zbl 0184.29202, MR 0246866 |
Reference:
|
[8] R. Padamanabhan and H. Subramanian: Ideals in semirings.Math. Japonicae 13 (1968), 123–128. MR 0245626 |
. |