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Öğe A discussion of bisexual populations with Wolbachia infection as an evolution algebra(Taylor & Francis Inc, 2025) Esin, S.; Kanuni, M.; Ozdinc, B.In this paper, Wolbachia infection in a bisexual and diploid population with a fixed cytoplasmic incompatibility rate w and maternal transmission rate d is studied as an evolution algebra. As the cytoplasmic incompatibility (CI) of the population causes deaths in the offspring, the evolution algebra of this model is not baric, and is a dibaric algebra if and only if the cytoplasmic incompatibility rate w is 1 and d=1 . The idempotent elements are given in terms of d and w. Moreover, this algebra has no absolute nilpotent elements when CI expression w not equal 1 .Öğe A Survey on the Ideal Structure of Leavitt Path Algebras(Springer Science and Business Media B.V., 2020) Kanuni, M.; Sert, S.There is extensive recent literature on the graded, non-graded, prime, primitive, maximal ideals of Leavitt path algebras. In this introductory level survey, we will be giving an overview of different types of ideals and the correspondence between the lattice of ideals and the lattice of hereditary and saturated subsets of the graph over which the Leavitt path algebra is constructed. © 2020, Springer Nature Singapore Pte Ltd.












