On δ -primary co-ideals of a commutative semirin
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ATANI, Shahabaddin Ebrahimi, PISH HESARI, Saboura Dolati, KHORAMDEL, Mehdi. On δ -primary co-ideals of a commutative semirin. In: Quasigroups and Related Systems, 2014, vol. 22, nr. 1(31), pp. 71-80. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 22, Numărul 1(31) / 2014 / ISSN 1561-2848

On δ -primary co-ideals of a commutative semirin

Pag. 71-80

Atani Shahabaddin Ebrahimi, Pish Hesari Saboura Dolati, Khoramdel Mehdi
 
University of Guilan
 
 
Disponibil în IBN: 30 septembrie 2014


Rezumat

We introduce the notion of a δ-primary co-ideal of a commutative semiring R and study some of it properties. Here δ is a mapping that assigns to each co-ideal J a co-ideal δ(J) of the same semiring. We investigate the relationship between the minimal prime co-ideals of R/I and δ(I)/I, when I is a δ-primary Q-co-ideal. We also prove that every identity summand of R/I is contained in δ(I)/I and δ(I) contains all minimal prime co-ideals which contains I.