Calculus of meet plus hyperalgebra (tropical semihyperrings)

B. Davvaz; S. Subiono; M. Al Tahan

doi:10.1080/00927872.2019.1710178

Calculus of meet plus hyperalgebra (tropical semihyperrings)

B. Davvaz^*, S. Subiono, M. Al Tahan

^*Corresponding author for this work

Laboratory of Analysis, Algebra, and Mathematics for Education

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Totally ordered Krasner hyperrings are a special type of Krasner hyperrings that induce a total order. In this article, we use them to define (for the first time) meet plus hyperalgebra as an extension of max plus algebra. Moreover, we study matrices and systems of equations in meet plus hyperagebra. Communicated by V. A. Artamonov.

Original language	English
Pages (from-to)	2143-2159
Number of pages	17
Journal	Communications in Algebra
Volume	48
Issue number	5
DOIs	https://doi.org/10.1080/00927872.2019.1710178
Publication status	Published - 3 May 2020

Keywords

Krasner hyperring
semihyperring
semiring
totally ordered Krasner hyperring
tropical semihyperring

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10.1080/00927872.2019.1710178

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abstract = "Totally ordered Krasner hyperrings are a special type of Krasner hyperrings that induce a total order. In this article, we use them to define (for the first time) meet plus hyperalgebra as an extension of max plus algebra. Moreover, we study matrices and systems of equations in meet plus hyperagebra. Communicated by V. A. Artamonov.",

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AU - Al Tahan, M.

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N2 - Totally ordered Krasner hyperrings are a special type of Krasner hyperrings that induce a total order. In this article, we use them to define (for the first time) meet plus hyperalgebra as an extension of max plus algebra. Moreover, we study matrices and systems of equations in meet plus hyperagebra. Communicated by V. A. Artamonov.

AB - Totally ordered Krasner hyperrings are a special type of Krasner hyperrings that induce a total order. In this article, we use them to define (for the first time) meet plus hyperalgebra as an extension of max plus algebra. Moreover, we study matrices and systems of equations in meet plus hyperagebra. Communicated by V. A. Artamonov.

KW - Krasner hyperring

KW - semihyperring

KW - semiring

KW - totally ordered Krasner hyperring

KW - tropical semihyperring

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Calculus of meet plus hyperalgebra (tropical semihyperrings)

Abstract

Keywords

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