The Source of Semiprimeness of Semigroups by Barış Albayrak, Didem Yeşil, Didem Karalarlioğlu Camci

“…In this study, we define new semigroup structures using the set SS=a∈S|aSa=0 which is called the source of semiprimeness for a semigroup S with zero element. SS−idempotent semigroup, SS−regular semigroup, SS−reduced semigroup, and SS−nonzero divisor semigroup which are generalizations of idempotent, regular, reduced, and nonzero divisor semigroups in semigroup theory are investigated, and their basic properties are determined. …”
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Remarks on derivations on semiprime rings by Mohamad Nagy Daif, Howard E. Bell

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Quantum Groupoids Acting on Semiprime Algebras by Inês Borges, Christian Lomp

“…Following Linchenko and Montgomery's arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.…”
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Identities with derivations and automorphisms on semiprime rings by Joso Vukman

“…The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. …”
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A note on semiprime rings with derivation by Motoshi Hongan

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Derivations of higher order in semiprime rings by Jiang Luh, Youpei Ye

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Generalized Derivations in Semiprime Gamma Rings by Kalyan Kumar Dey, Akhil Chandra Paul, Isamiddin S. Rakhimov

“…Let M be a 2-torsion-free semiprime Γ-ring satisfying the condition aαbβc=aβbαc for all a,b,c∈M,  α,β∈Γ, and let D:M→M be an additive mapping such that D(xαx)=D(x)αx+xαd(x) for all x∈M,  α∈Γ and for some derivation d of M. …”
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A note on derivations in semiprime rings by Joso Vukman, Irena Kosi-Ulbl

“…Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R. …”
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Dependent Elements of Derivations on Semiprime Rings by Faisal Ali, Muhammad Anwar Chaudhry

“…We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d. …”
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On prime and semiprime near-rings with derivations by Nurcan Argaç

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On Maps of Period 2 on Prime and Semiprime Rings by H. E. Bell, M. N. Daif

“…We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized derivations of period 2 on prime and semiprime rings.…”
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L-Fuzzy Semiprime Ideals of a Poset by Berhanu Assaye Alaba, Derso Abeje Engidaw

“…In this paper, we introduce the concept of L-fuzzy semiprime ideal in a general poset. Characterizations of L-fuzzy semiprime ideals in posets as well as characterizations of an L-fuzzy semiprime ideal to be L-fuzzy prime ideal are obtained. …”
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Interval-Valued Semiprime Fuzzy Ideals of Semigroups by Sukhendu Kar, Paltu Sarkar, Kostaq Hila

“…We introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties. …”
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A note on a pair of derivations of semiprime rings by Muhammad Anwar Chaudhry, A. B. Thaheem

“…We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z(R), and let f, g be derivations of R such that f(x)x+xg(x)∈Z(R) for all x∈R, then f and g are central. …”
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Centrally Extended α-Homoderivations on Prime and Semiprime Rings by Mahmoud M. El-Soufi, A. Ghareeb

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Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings by Abu Zaid Ansari, Faiza Shujat, Muzibur Mozumder, Wasim Ahmed

Subjects: “…semiprime ring…”
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Semiprime SF-rings whose essential left ideals are two-sided by Zhang Jule, Du Xhianneng

“…It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. …”
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A note on centralizers by Howard E. Bell

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Notes on (α,β)-derivations by Neşet Aydin

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On functional identities involving n-derivations in rings by Vaishali Varshney, Shakir Ali, Naira Noor Rafiquee, Kok Wong

Subjects: “…semiprime ring…”
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