Results 31 to 40 of about 124 (48)
Direct sums of J‐rings and radical rings
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 531-534, 1995., 1994 Let R be a ring, J(R) the Jacobson radical of R and P the set of potent elements of R. We prove that if R satisfies (∗) given x, y in R there exist integers m = m(x, y) > 1 and n = n(x, y) > 1 such that xmy = xyn and if each x ∈ R is the sum of a potent element and a nilpotent element, then N and P are ideals and R = N ⊕ P.
Xiuzhan Guo
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 667-670, 1994., 1993 Let R be a ring, and let C denote the center of R. R is said to have a prime center if whenever ab belongs to C then a belongs to C or b belongs to C. The structure of certain classes of these rings is studied, along with the relation of the notion of prime centers to commutativity. An example of a non‐commutative ring with a prime center is given.
Hazar Abu-Khuzam, Adil Yaqub
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A Pair of Generalized (α, α)‐Derivations With Identities Related to Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let A be an arbitrary ring, α an automorphism of A, I a nonzero ideal of A, and ϒ a prime ideal of A satisfying the condition ϒ⊊αI. This research investigates the interplay between two generalized (α, α)‐derivations, Ω and G (associated with (α, α)‐derivations f and h, respectively), and the resulting characteristics of the quotient ring A/ϒ.
Ali Yahya Hummdi +4 more
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Dual $\pi$-Rickart Modules [PDF]
, 2012 Let $R$ be an arbitrary ring with identity and $M$ a right $R$-module with $S =$ End$_R(M)$. In this paper we introduce dual $\pi$-Rickart modules as a generalization of $\pi$-regular rings as well as that of dual Rickart modules.
Halıcıoglu, Sait +3 more
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On Jordan Triple Homomorphism and Generalized Jordan Triple Homomorphism of Gamma Rings [PDF]
, 2016 More details can be found in the full ...
Dey, Kalyan Kumar, Jarulla, Fawaz Raad
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SOME EXAMPLES OF ARMENDARIZ RINGS [PDF]
, 2017 We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of monoid M. In particular, we give some examples of Armendariz rings related to a monoid.
Ali, Eltiyeb, Elshokry, Ayoub
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Commutativity of associative rings through a Streb's classification [PDF]
, 1997 summary:Let $m \geq 0, ~r \geq 0, ~s \geq 0, ~q \geq 0$ be fixed integers. Suppose that $R$ is an associative ring with unity $1$ in which for each $x,y \in R$ there exist polynomials $f(X) \in X^{2} \mbox{$Z \hspace{-2.2mm} Z$}[X], ~g(X), ~h(X) \in X ...
Ashraf, Mohammad
core
On Jordan (σ,τ) - Higher Reverse Derivations of Gamma-Rings [PDF]
, 2016 More details can be found in the full ...
Jarullah, Fawaz Raad
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First Order Calculi with Values in Right--Universal Bimodules
, 1996 The purpose of this note is to show how calculi on unital associative algebra with universal right bimodule generalize previously studied constructions by Pusz and Woronowicz [1989] and by Wess and Zumino [1990] and that in this language results are in a
Borowiec, A. +2 more
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Endo-principally Projective Modules [PDF]
, 2013 Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). In this paper, we introduce a class of modules that is a generalization of principally projective (or simply p.p.) rings and Baer modules.
Agayev, Nazım +3 more
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