Inverse semirings whose additive endomorphisms are multiplicative

Bedřich Pondělíček

Displaying similar documents to “Inverse semirings whose additive endomorphisms are multiplicative”

On centralizer of semiprime inverse semiring

S. Sara, M. Aslam, M.A. Javed (2016)

Discussiones Mathematicae General Algebra and Applications

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Let S be 2-torsion free semiprime inverse semiring satisfying A₂ condition of Bandlet and Petrich [1]. We investigate, when an additive mapping T on S becomes centralizer.

Semirings whose additive endomorphisms are multiplicative

Tomáš Kepka (1993)

Commentationes Mathematicae Universitatis Carolinae

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A ring or an idempotent semiring is associative provided that additive endomorphisms are multiplicative.

Inverse zero-sum problems {II}

Wolfgang A. Schmid (2010)

Acta Arithmetica

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A note on orthodox additive inverse semirings

M. K. Sen, S. K. Maity (2004)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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We show in an additive inverse regular semiring $(S, +, \cdot)$ with $E^{•} (S)$ as the set of all multiplicative idempotents and $E^{+} (S)$ as the set of all additive idempotents, the following conditions are equivalent: (i) For all $e, f \in E^{•} (S)$ , $e f \in E^{+} (S)$ implies $f e \in E^{+} (S)$ . (ii) $(S, \cdot)$ is orthodox. (iii) $(S, \cdot)$ is a semilattice of groups. This result generalizes the corresponding result of regular ring.

Inverse zero-sum problems {III}

Weidong Gao, Alfred Geroldinger, David J. Grynkiewicz (2010)

Acta Arithmetica

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Reducing inverse systems of monomorphisms

G. R. Gordh Jr., Sibe Mardešić (1975)

Colloquium Mathematicae

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Inverse limits and hyperspaces

R. Duda (1971)

Colloquium Mathematicae

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On anticommutative semirings.

Ratti, J.S., Lin, Y.F. (1989)

International Journal of Mathematics and Mathematical Sciences

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