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Birkhoff center of $c$ -semiring

S. Kar

Department of Mathematics, Jadavpur University, 188, Raja S. C. Mallick Road, Kolkata 700032, India

E-mail Address: karsukhendu@yahoo.co.in

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S. Purkait

Department of Mathematics, Jadavpur University, 188, Raja S. C. Mallick Road, Kolkata 700032, India

E-mail Address: sanuiitg@gmail.com

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, and

R. Sarkar

Department of Mathematics, Jadavpur University, 188, Raja S. C. Mallick Road, Kolkata 700032, India

E-mail Address: ranjannahata@gmail.com

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https://doi.org/10.1142/S1793557119500037Cited by:1 (Source: Crossref)

Abstract

In this paper, we introduce the concept of Birkhoff center of a $c$ -semiring and provide some characterizations of this center. Finally, we prove that the Birkhoff center of a $c$ -semiring forms a distributive lattice.

Communicated by N. Gilbert

Keywords:

AMSC: 16Y60, 06B05

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