On the generalization of Breser theorems
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2022-09-09 13:54
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NADEEM, Muhammad, ASLAM, Muhammad, JAVED, Malik-Anjum. On the generalization of Breser theorems. In: Quasigroups and Related Systems, 2016, vol. 24, nr. 1(35), pp. 123-128. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 24, Numărul 1(35) / 2016 / ISSN 1561-2848

On the generalization of Breser theorems
CZU: 512.5

Pag. 123-128

Nadeem Muhammad1, Aslam Muhammad2, Javed Malik-Anjum1
 
1 GC University,
2 Quaid-i-Azam University, Islamabad
 
 
Disponibil în IBN: 3 august 2016


Rezumat

If S is a prime semiring with char S 6= 2 and f : S ! S is an additive mapping which is skew-commuting on an ideal I of S, then f(I) = 0. We also prove that zero is the only additive mapping which is skew-commuting on a 2-torsion free semiprime semiring. These statements are the generalization of Bre²ar's theorems.