Ideal-simple semirings. III.
Tomáš Kepka, Petr Němec (2012)
Acta Universitatis Carolinae. Mathematica et Physica
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Tomáš Kepka, Petr Němec (2012)
Acta Universitatis Carolinae. Mathematica et Physica
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Tomáš Kepka, Petr Němec (2012)
Acta Universitatis Carolinae. Mathematica et Physica
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A. Almeida Costa, Margarita Ramalho (1978)
Mathematica Slovaca
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Ebrahimi Atani, Shahabaddin, Ebrahimi Atani, Reza (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Francisco Poyatos (1980)
Revista Matemática Hispanoamericana
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The object of this paper is to prove the Green and Jordan-Hölder theorems in semirings. We follow Rees [11], Green [5], Clifford and Preston [2]. This work is similar to [7] and generalizes [8] and [9]. Although some proofs are parallel to those for semigroups, we explain them here to obtain a complete and self-contained exposition.