Buradasınız

Primary Decomposition in Lattice Modules

Journal Name:

Publication Year:

Author NameUniversity of Author
Abstract (2. Language): 
In this paper, we study primary decomposition of elements in lattice modules. A necessary and sufficient condition for a prime element p of a multiplicative lattice L to be equal to some associated prime of an element in a lattice module having primary decomposition is obtained.
201
209

REFERENCES

References: 

[1] D.D. Anderson. Multiplicative Latices. Ph.D. thesis, Chicago University, 1974.
[2] R.P Dilworth. Abstract Commutative Ideal Theory, Pacific Journal of Mathematics, 12, 481-498. 1962.
[3] J.A. Johnson. a-adic.Completions of Noetherian Lattice Modules, Fundamenta Mathemat-
icae, 66, 341-371. 1970.
[ 4] F. Callialp and U. Tekir. Multiplication Lattice Modules, Iranian Journal of Science and
Technology, 309-313. 2011.
[5] M.D. Larsen and PJ. McCarthy. Multiplicative theory of ideals, Academic press, New York,
USA. 1970.
[ 6] N.K. Thakare and C.S. Manjarekar. Radicals and uniqueness theorem in multiplicative lattices with chain conditions, Studia Scientifica Mathematicarum Hungarica 18, 13-19.
1983

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