%0 Journal Article %T Exact sequences of extended $d$-homology %J Algebraic Structures and Their Applications %I Yazd University %Z 2382-9761 %A Kazemi Baneh, Mohammad Zaher %A Hosseini, Seyed Naser %D 2016 %\ 02/01/2016 %V 3 %N 1 %P 25-38 %! Exact sequences of extended $d$-homology %K kernel %K image %K abelian category %K standard homology %K (extended) d-homology %K exact sequence %R %X In this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. We present sufficient conditions for the existence of long exact extended d- homology sequence. Also we give some illustrative examples. %U https://as.yazd.ac.ir/article_886_e041c7772dac1fb8eb2e2a396ea1a011.pdf