JPRM-Vol. 17 (2021), Issue 2, pp. 149 – 158
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Muhammad Anwar Chaudhry, Muhammad Imran Qureshi, Asfand Fahad, Muhammad Sajjad Bashir
Abstract: We introduce the generalized d-algebras, generalized d-ideals (d∗-ideals, d#-ideals, d$-ideals) and other related notions. We also prove some properties about d-ideal, d#-ideal and results related to quotient generalized d-algebra. Through these constructions, we prove the first, second and the third isomorphism theorems for the generalized d-algebras. These developments contribute to the theory of the BCI/BCK/BCH and the generalized BCH-algebras.
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