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Isomorphism Theorems in Generalized d algebras −

Author(s)
Muhammad Anwar Chaudhry Department of Mathematics and Statistics, Institute of Southern Punjab,Multan,Pakistan
Muhammad Imran Qureshi Department of Mathematics, COMSATS University Islamabad,Vehari Campus, Vehari,Pakistan
Asfand Fahad Center for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University,Multan,Pakistan
Muhammad Sajjad Bashir Department of Mathematics and Statistics, Institute of Southern Punjab,Multan,Pakistan
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.
Publication Details
Page(s) 149-158
DOI DOI not available
Published Journal: Journal of Prime Research in Mathematics, Volume: 17, Issue: 2, Year: 2021

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Keywords
d#-ideals, BCH-algebras, Generalized d-algebras, Isomorphism theorems
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