Results 1 to 10 of about 2,473 (265)
Rings with Polynomial Identity and Centrally Essential Rings [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2019 It is proved that for any prime integer $p$ and each field $F$ of characteristic $p$, there exists a centrally essential $F$-algebra which is not a PI-ring and is not algebraic over its center. Victor Markov is supported by the Russian Foundation for Basic Research, project 17-01-00895-A.
Victor I. Markov, A. A. Tuganbaev
semanticscholar +8 more sources
Nil Semi-Groups of Rings with a Polynomial Identity [PDF]
Nagoya Mathematical Journal, 1966 The basic properties of associative rings R satisfying a polynomial identity p[x1…, xn] = 0 were obtained under the assumptions that the ring was an algebra [e.g., [4] Ch. X], or with rather strong restrictions on the ring of operators ([1]). But it is desirable to have these properties for arbitrary rings, and the present paper is the first of an ...
S. A. Amitsur
semanticscholar +5 more sources
Regular self-injective rings with a polynomial identity [PDF]
Transactions of the American Mathematical Society, 1974 This paper studies maximal quotient rings of semiprime P. I.-rings; such rings are regular, self-injective and satisfy a polynomial identity. We show that the center of a regular self-injective ring is regular self-injective; this enables us to establish that the center of the maximal quotient ring of a semiprime P.
Efraim P. Armendariz +1 more
semanticscholar +3 more sources
Primitive rings with involution whose symmetric elements satisfy a generalized polynomial identity [PDF]
Proceedings of the American Mathematical Society, 1970 Let R be a primitive ring with involution *. Thus R may be considered as an irreducible ring of endomorphisms of an additive abelian group V, so that D=HomR(V, V) is a division ring. Let C be the center of D. We shall furthermore assume that CRCR. It can be shown that an involution -y--+is induced in C which has the property that 1yx = (tyx*)* for all ...
Wallace S. Martindale
semanticscholar +4 more sources
On classical quotients of polynomial identity rings with involution [PDF]
Proceedings of the American Mathematical Society, 1973 Let ( R , ∗ ) (R, \ast ) denote a ring R R with involution ( ∗ ) ( \ast ) , where “involution” means “ anti - automorphism of order ≦ two {\text {anti - automorphism of ...
Louis Rowen
semanticscholar +3 more sources
Rings with a polynomial identity [PDF]
Bulletin of the American Mathematical Society, 1948 Irving Kaplansky
semanticscholar +5 more sources
Rings with a polynomial identity
, 2011 Since Kaplansky's first paper on the subject of P.I. rings appeared in 1948, many fruitful results have arisen from the study of such rings. This thesis attempts to present the most important of these results in a unified theory. Chapter I gives the basic notation, definitions, a number of small lemmas together with Kaplansky's incisive result on ...
Lawrence Ernest Bridger
semanticscholar +3 more sources
Prime rings with a one-sided ideal satisfying a polynomial identity [PDF]
Pacific Journal of Mathematics, 1968 L. P. Belluce, Surender K. Jain
semanticscholar +5 more sources
Some results on the center of a ring with polynomial identity [PDF]
Bulletin of the American Mathematical Society, 1973 Louis Rowen
semanticscholar +4 more sources
Hierarchical Identity-Based Signature in Polynomial Rings
Computer/law journal, 2020 Hierarchical identity-based signature (HIBS) plays a core role in a large community as it significantly reduces the workload of the root private key generator.
Zhichao Yang +5 more
openalex +2 more sources