Browsing by Author "Hentzel, Irvin Roy"

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    • Idempotents in plenary train algebras 
      Behn Von Schmieden, Antonio; Hentzel, Irvin Roy (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010-10-08)
      In this paper we study plenary train algebras of arbitrary rank. We show that for most parameter choices of the train identity, the additional identity (x2 − ω(x)x)2 = 0 is satisfied. We also find sufficient conditions ...
    • Nilpotency of commutative finitely generated algebras satisfying L(x)(3) + gamma L(x)(3)=0, gamma=1, 0 
      Correa, Iván; Hentzel, Irvin Roy; Labra Jeldres, Alicia (ELSEVIER, 2011-03-15)
      This paper deals with two varieties of commutative non-associative algebras. One variety satisfies L(x)(3) + L(x)(3) = 0. The other variety satisfies L(x)(3) = 0. We prove that in either variety, any finitely generated ...
    • SEMIPRIMALITY AND NILPOTENCY OF NONASSOCIATIVE RINGS SATISFYING x (yz) = y (zx) 
      Behn Von Schmieden, Antonio; Correa, Iván; Hentzel, Irvin Roy (Taylor & Francis Group, 2008)
      In this article we study nonassociative rings satisfying the polynomial identity x yz = y zx , which we call “cyclic rings.” We prove that every semiprime cyclic ring is associative and commutative and that every cyclic ...