A note on the minimum-ideal of a given matrix
Karel Drbohlav (1962)
Acta Universitatis Carolinae. Mathematica et Physica
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Karel Drbohlav (1962)
Acta Universitatis Carolinae. Mathematica et Physica
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Jacek Klimek (1988)
Fundamenta Mathematicae
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Keisuke Toki (1999)
Collectanea Mathematica
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Marcus, Marvin, Yaqub, Adil (1963)
Portugaliae mathematica
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V. Nanda (1963)
Acta Arithmetica
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Ulrich F. Albrecht, H. Pat Goeters, Charles Megibben (1993)
Rendiconti del Seminario Matematico della Università di Padova
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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.