فهرست مقالات ‎commutator‎

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  1 - ‎New elements in Hilbert algebras
  Ardavan Najafi
  10.30495/TFSS.2024.1106985
  In this paper‎, ‎the notion of commutator of elements of a Hilbert algebra are introduced and some properties are given‎. ‎The notions of involution element and Engel element in Hilbert algebras are introduced‎. ‎Many different characterizations of them are given‎. ‎The چکیده کامل

  In this paper‎, ‎the notion of commutator of elements of a Hilbert algebra are introduced and some properties are given‎. ‎The notions of involution element and Engel element in Hilbert algebras are introduced‎. ‎Many different characterizations of them are given‎. ‎Then‎, ‎left (right) $k$-Engel elements as a natural generalization of commutators are introduced‎, ‎and we discuss Engel elements‎, ‎which is defined by left and right commutators‎. ‎Finally‎, ‎we will also study relationships between these elements‎. پرونده مقاله