You are here

Home » Content

Baer Elements In Lattice Modules

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2015

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
Let L be a compactly generated multiplicative lattice with 1 compact in which every finite product of compact elements is compact and M be a module over L. In this paper we generalize the concepts of Baer elements,∗-elements and closed elements and obtain the relation between ∗-elements and Baer elements and also closed elements and Baer elements. Some characterization are also obtain for closed elements of M and minimal prime elements of M.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon 2415-5561-1-pb.pdf
  • 3
332
342
  • English

REFERENCES

References: 

[1] D.D. Anderson, C. Jayaram, and P.A. Phiri. Baer lattices. Acta Scientiarum Mathematicarum,
Vol 59. pps 61-74. 1994.
[2] F. Callialp and U. Tekir. Multiplication lattice modules, Iranian journal of science and technology,
Vol A4. pps 309-313. 2011.
[3] J. A. Johnson. a-adic completions of Noetherian lattice modules. Fundamenta Mathematica,
Vol 66. pps. 341-371. 1970.
[4] A. KKhouja-Al Eaman. Maximal elements and prime elements in Lattice Modules. Damascus
University Journal for Basic Sciences, Vol 19(2). 2003.
[5] N.K. Thakare and C.S. Manjarekar. Abstract spectral theory: Multiplicative lattices in which
every character is contained in a unique maximal character. Proceedings of the international
symposium on Algebra and its applications, Marcel Dekker and Bessel. pps 265-276. 1984.

Thank you for copying data from http://www.arastirmax.com