SEMIRING

  • Susan R. Lisapaly Jurusan Matematika FMIPA Universitas Pattimura
  • Elvinus R. Persulessy Jurusan Matematika FMIPA Universitas Pattimura
DOI: https://doi.org/10.30598/barekengvol5iss2pp45-47
Keywords: Grup Komutatif, Monoid Komutatif, Ring, Semiring

Abstract

Dalam aljabar, semiring merupakan suatu struktur yang serupa dengan ring, tetapi tanpa syarat bahwa setiap elemen harus memiliki invers terhadap operasi penjumlahan. Jika pada ring, R,  adalah grup komutatif atau grup abelian maka pada semiring, S,  hanya membentuk monoid komutatif, yang berarti setiap elemennya tidak perlu memiliki invers terhadap operasi penjumlahan.

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References

Fraleigh, J.B. 2000. A First Course In Abstract Algebra. Sixth Edition. Addison-Wesley Publishing Company, Massachussets.
Kandasamy, V. W. B., 1993, Semivector Spaces Over Semifields, American Research Press, USA.
Kandasamy, V. W. B., 2002, Smarandache Semirings, Semifields, And Semivector Spaces, American Research Press, USA.
Published
2011-12-01
How to Cite
[1]
S. Lisapaly and E. Persulessy, “SEMIRING”, BAREKENG: J. Math. & App., vol. 5, no. 2, pp. 45-47, Dec. 2011.
Issue
Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Section
Articles

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