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ON GENERALIZED ZIP RINGS
- Authors
- Park, Jeong Sook; Park, Kye Hee
- Issue Date
- Nov-2020
- Publisher
- Pushpa Publishing House
- Keywords
- zip ring; polynomial ring; Laurent polynomial ring; matrix ring
- Citation
- JP Journal of Algebra, Number Theory and Applications, v.48, no.2, pp 177 - 192
- Pages
- 16
- Indexed
- ESCI
FOREIGN
- Journal Title
- JP Journal of Algebra, Number Theory and Applications
- Volume
- 48
- Number
- 2
- Start Page
- 177
- End Page
- 192
- ISSN
- 0972-5555
- Abstract
- We continue the study of a zip ring under a weaker condition of annihilators and call it a generalized zip ring. Of course, every zip ring is a generalized zip ring, but by means of an example, it is shown that a generalized zip ring may not be a zip ring. Also, every (quasi-) Baer ring with identity is a generalized zip ring. We obtain some properties of a generalized zip ring and examine various kinds of basic extensions of a generalized right zip. We show that a generalized right zip ring may become a polynomial ring, a Laurent polynomial ring or an n by n full matrix ring.
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