On centralizer of semiprime inverse semiring

S. Sara; M. Aslam; M.A. Javed

Displaying similar documents to “On centralizer of semiprime inverse semiring”

Inverse semirings whose additive endomorphisms are multiplicative

Bedřich Pondělíček (1996)

Mathematica Slovaca

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Inverse zero-sum problems {II}

Wolfgang A. Schmid (2010)

Acta Arithmetica

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Inverse zero-sum problems {III}

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

Acta Arithmetica

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Explicit solutions of infinite linear systems associated with group inverse endomorphisms

Fernando Pablos Romo (2022)

Czechoslovak Mathematical Journal

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The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.

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 an inverse problem in the theory of thermistors

Ewa Sylwestrzak (2002)

Applicationes Mathematicae

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An inverse problem for a nonlocal problem describing the temperature of a conducting device is studied.

Inverse zero-sum problems

Weidong Gao, Alfred Geroldinger, Wolfgang A. Schmid (2007)

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.