IJPAM: Volume 113, No. 3 (2017)
Division of Science and Technology
University of Education
Lahore, 54000, PAKISTAN
Department of Mathematics
The University of Lahore
Pakpattan, 57400, PAKISTAN
Department of Mathematics and RINS
Gyeongsang National University
Jinju, 52828, KOREA
-elements in a commutative ring with unity . An element is said to be a -element of if whenever for then there exists such that . We show that if then is a -element of if and only if is a -element of that every -element of is also a -element of its polynomial ring and that if is a -element of with then is a -element of its quotient ring .
Received: December 21, 2016
Revised: February 20, 2017
Published: March 28, 2017
Correction: March 31, 2017, The correspondence author of the article is Professor Shin Min Kang. The original publication is available here.
AMS Subject Classification: 13A15, 13F05
Key Words and Phrases: nilpotent element, annihilator
You will need Adobe Acrobat reader. For more information and free download of the reader, see the Adobe Acrobat website.
- J.A. Gallian, Contemporary Abstract Algebra, Houghton Mifflin Company (2006).
- R. Gilmer, Multiplicative Ideal Theory, Pure Appl. Math., 12, Marcel Dekker, Inc, New York (1972).
- I. Kaplansky, Commutative Rings, The University of Chicago Press, Chicago (1974).
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 483 - 487
-ELEMENTS IN A COMMUTATIVE RING WITH UNITY%22&as_occt=any&as_epq=&as_oq=&as_eq=&as_publication=&as_ylo=&as_yhi=&as_sdtAAP=1&as_sdtp=1" title="Click to search Google Scholar for this entry" rel="nofollow">Google Scholar; DOI (International DOI Foundation); WorldCAT.