Syarat Perlu dan Syarat Cukup Seminear-ring Komutatif Terhadap Operasi Perkalian
DOI:
https://doi.org/10.31605/jomta.v3i2.1390Keywords:
seminear-ring, komutatif, elemen identitas, kanselasiAbstract
Seminear-ring adalah hasil generalisasi dari semiring dan near-ring. Secara umum, seminear-ring belum tentu komutatif. Sehingga perlu diidentifikasi syarat perlu dan syarat cukup seminear-ring komutatif. Paper ini membahas seminear-ring komutatif khusus terhadap operasi perkalian, sebab terhadap operasi penjumlahannya belum tentu komutatif. Seminear-ring yang digunakan dalam paper ini adalah seminear-ring kanselasi dengan elemen satuan. Mathematics Subject Classification:16Y60,16Y99.
References
[1] Pilz Gunter, Near-Rings, revised edition. Amsterdam: North-Holland Publishing Company, 1983.
[2] Hussain, F., Tahir, M, Abdullah, S., and Sadiq, N., “Quotients Seminear-rings,”Indian Journal of Science and Technology, no. 1-7, 2016.
[3] Rootselar, B. van and Hoorn, Willy G. van., “Fundamental Notions in The Theory of Seminear-rings,” Compositio Mathematica, vol. 18, no. 1-2, pp. 65-78, 1967.
[4] Ramachandram, “Coomutativity of Seminear-Rings,” Journal of Science and Arts, vol. 17, no. 4, pp. 367-368, 2011.
[5] Grillet, P.A., Commutative Semigroups, USA: Kluwer Academic Publishers, 2001.
[2] Hussain, F., Tahir, M, Abdullah, S., and Sadiq, N., “Quotients Seminear-rings,”Indian Journal of Science and Technology, no. 1-7, 2016.
[3] Rootselar, B. van and Hoorn, Willy G. van., “Fundamental Notions in The Theory of Seminear-rings,” Compositio Mathematica, vol. 18, no. 1-2, pp. 65-78, 1967.
[4] Ramachandram, “Coomutativity of Seminear-Rings,” Journal of Science and Arts, vol. 17, no. 4, pp. 367-368, 2011.
[5] Grillet, P.A., Commutative Semigroups, USA: Kluwer Academic Publishers, 2001.
Published
2021-12-30
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