Semigroup of k-bi-ideals of a semiring with semilattice additive reduct

• Autorzy: Bhuniya A. K. , Jana K.
• Języki publikacji: EN

Abstrakty

EN

We associate a semigroup B(S) to every semiring S with semilattice additive reduct, namely the semigroup of all k-bi-ideals of S; and such semirings S have been characterized by this associated semigroup B(S). A semiring S is k-regular if and only if B(S) is a regular semigroup. For the left k-Clifford semirings S, B(S) is a left normal band; and consequently, B(S) is a semilattice if S is a k-Clifford semiring. Also we show that the set Bm(S) of all minimal k-bi-ideals of S forms a rectangular band and Bm(S) is a bi-ideal of the semigroup B(S).

Słowa kluczowe

EN

k-bi-ideals; minimal k-bi-ideals; k-regular; k-Clifford; left normal band

PL

k-bi-ideały; półgrupy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2016
• Tom: Vol. 49, nr 2
• Strony: 119--128
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Bhuniya A. K.

• Department of Mathematics Visva-Bharati, Santiniketan-731235, India

autor

Jana K.

• Department of Mathematics Katwa College Katwa-713130, India

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.