Primary elements in Prüfer lattices
Czechoslovak Mathematical Journal (2002)
- Volume: 52, Issue: 3, page 585-593
- ISSN: 0011-4642
Access Full Article
top
Abstract
topHow to cite
topJayaram, C.. "Primary elements in Prüfer lattices." Czechoslovak Mathematical Journal 52.3 (2002): 585-593. <http://eudml.org/doc/30727>.
@article{Jayaram2002,
abstract = {In this paper we study primary elements in Prüfer lattices and characterize $\alpha $-lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices.},
author = {Jayaram, C.},
journal = {Czechoslovak Mathematical Journal},
keywords = {principal element; primary element; Prüfer lattice; principal element; primary element; Prüfer lattice},
language = {eng},
number = {3},
pages = {585-593},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Primary elements in Prüfer lattices},
url = {http://eudml.org/doc/30727},
volume = {52},
year = {2002},
}
TY - JOUR
AU - Jayaram, C.
TI - Primary elements in Prüfer lattices
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 3
SP - 585
EP - 593
AB - In this paper we study primary elements in Prüfer lattices and characterize $\alpha $-lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices.
LA - eng
KW - principal element; primary element; Prüfer lattice; principal element; primary element; Prüfer lattice
UR - http://eudml.org/doc/30727
ER -
References
top- 10.1007/BF02485825, Algebra Universalis 6 (1976), 131–145. (1976) Zbl0355.06022MR0419310DOI10.1007/BF02485825
- 10.2140/pjm.1976.66.15, Pacific J. Math. 66 (1976), 15–22. (1976) MR0435062DOI10.2140/pjm.1976.66.15
- Bear lattices, Acta. Sci. Math. (Szeged) 59 (1994), 61–74. (1994) MR1285430
- 10.1007/BF01236764, Algebra Universalis 36 (1996), 392–404. (1996) MR1408734DOI10.1007/BF01236764
- Principal element lattices, Czechoslovak Math. J. 46(121) (1996), 99–109. (1996) MR1371692
- Prüfer rings, Math. Z. 95 (1967), 196–211. (1967) MR0209271
- 10.2140/pjm.1962.12.481, Pacific J. Math. 12 (1962), 481–498. (1962) Zbl0111.04104MR0143781DOI10.2140/pjm.1962.12.481
- 10.1155/S0161171295000676, Internat. J. Math. Math. Sci. 18 (1995), 535–538. (1995) MR1331954DOI10.1155/S0161171295000676
- 10.1007/BF01882195, Period. Math. Hungar. 31 (1995), 201–208. (1995) MR1610262DOI10.1007/BF01882195
- 10.1007/BF01876351, Period. Math. Hungar. 31 (1995), 33–42. (1995) MR1349291DOI10.1007/BF01876351
- Primary elements and prime power elements in multiplicative lattices, Tamkang J. Math. 27 (1996), 111–116. (1996) MR1407005
- Dedekind lattices, Acta. Sci. Math. (Szeged) 63 (1997), 367–378. (1997) MR1480486
- 10.1023/A:1022475220032, Czechoslovak Math. J. 48(123) (1998), 641–651. (1998) MR1658225DOI10.1023/A:1022475220032
- 10.2140/pjm.1969.28.561, Pacific J. Math. 28 (1969), 561–564. (1969) MR0255456DOI10.2140/pjm.1969.28.561
- 10.1007/BF02410800, Ann. Math. Pura. Appl. 82 (1969), 267–274. (1969) Zbl0216.05103MR0248124DOI10.1007/BF02410800
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.