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Titlebook: Algebra and Related Topics with Applications; ICARTA-2019, Aligarh Mohammad Ashraf,Asma Ali,Vincenzo De Filippis Conference proceedings 202

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Two Remarks on Generalized Skew Derivations in Prime Rings, associated with the same automorphism . and commuting with .. In this work we describe all possible forms of . and . in the following two cases: (a) there exist . and a non-central Lie ideal . of . such that ., for all .; (b) there exist . such that ., for all ..
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Dimensional Dual Hyperovals—An Updated Survey2006). It describes the initial investigations in this field and covers roughly the period from 1995 to 2005. The present report is an update of this survey and tries to explain relevant developments after 2005.
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Basic One-Sided Ideals of Leavitt Path Algebras over Commutative Ringsleft (right) ideal generated by a vertex is a minimal basic left (right) ideal. It is further shown that if . has no non-zero nilpotent elements, then every minimal basic left ideal . of the Leavitt path algebra . contains a vertex. Among other techniques, the proof depends on the fact that a Leavit
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On Certain ,-differential Identities in Prime Rings with Involution, if a prime ring with involution . of the second kind with char. admits derivations . and . such that .then either . is commutative or . Apart from proving some other results, we provide some examples to show that the hypotheses imposed on our results are not superfluous.
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978-981-19-3900-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Jordan Generalized ,-derivations of Unital Algebras Containing Idempotentst is shown that under certain conditions every multiplicative Jordan generalized .-derivation on . is additive. As a consequence, multiplicative Jordan generalized derivations on triangular algebras are characterized.
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