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

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https://doi.org/10.1057/978-1-137-59227-9left (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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https://doi.org/10.1007/978-1-4757-9948-4Let . be a ring with involution, . be the right Martindale quotient ring, and . be the extended centroid of .. Let . be an additive map and .. An additive map . is called .-generalized derivation with associative map . if . for all .. In this manuscript, we study commuting .-generalized derivations in rings with involution.

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