IJPAM: Volume 108, No. 3 (2016)
University of Buali Sina
Sayyed Jamaleddin Asadabadi University
Asadabad 6541835583, IRAN
Abstract. Let be a commutative semiring with identity. Let be a function where is the set of ideals of . A proper ideal of is called -primary if whenever , implies that either or . So if we take (resp., ), a -primary ideal is primary (resp., weakly primary). In this paper we study the properties of several generalizations of primary ideals of .
Received: December 31, 2015
AMS Subject Classification: 16Y60
Key Words and Phrases: semiring, -primary ideal, subtractive ideal
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DOI: 10.12732/ijpam.v108i3.13 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 629 - 633
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