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ESİN, SONGÜL

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ESİN

SONGÜL

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Minimal Generators of Annihilators of Even Neat Elements in the Exterior Algebra
(Scientific Technical Research Council Turkey-TUBITAK, 2022) ESİN, SONGÜL
This paper deals with an exterior algebra of a vector space whose base field is of positive characteristic. In this work, a minimal set of generators forming the annihilator of even neat elements of such an exterior algebra is exhibited. The annihilator of some special type of even neat elements is determined to prove the conjecture established in [3]. Moreover, a vector space basis for the annihilators under consideration is calculated.
Open Access
A Discussion of Bisexual Populations With Wolbachia Infection as an Evolution Algebra
(Taylor and Francis Ltd., 2024) ESİN, SONGÜL; Kanuni M.; Özdinç 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 (Formula presented.). The idempotent elements are given in terms of d and w. Moreover, this algebra has no absolute nilpotent elements when CI expression (Formula presented.). © 2024 Taylor & Francis Group, LLC.