Results 31 to 40 of about 115,699 (314)
Graded weakly 1-absorbing prime ideals
Cubo, 2022 In this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let $G$ be a group and $R$ be a $G$-graded commutative ring with a nonzero identity $1\neq0$.
Ünsal Tekir +3 more
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Primes in products of rings [PDF]
Pacific Journal of Mathematics, 1971 This paper is an elementary note which indicates how Harrison's primes sit in certain kinds of rings. It is proved that primes behave nicely under finite direct products. Also it is shown that any nil ideal is a subset of every prime. This gives information about the primes of artinian rings.
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DERIVATIONS OF PRIME AND SEMIPRIME RINGS [PDF]
Journal of the Korean Mathematical Society, 2009 Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and n a fixed positive integer. (i) If (d(x)y+xd(y)+d(y)x+yd(x)) n = xy + yx for all x,y 2 I, then R is commutative. (ii) If charR 6 2 and (d(x)y + xd(y) + d(y)x + yd(x)) n i (xy + yx) is central for all x,y 2 I, then R is commutative.
Inceboz H.G., Argaç N.
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HUBUNGAN DERIVASI PRIME NEAR-RING DENGAN SIFAT KOMUTATIF RING
E-Jurnal Matematika, 2017 Near-rings are generalize from rings. A research on near-ring is continous included a research on prime near-rings and one of this research is about derivation on prime near-rings.
PRADITA Z. TRIWULANDARI +2 more
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A NOTE ON β-DERIVATIONS IN PRIME NEAR RING [PDF]
Matrix Science Mathematic, 2021 In this paper, we prove commutativity of prime near rings by using the notion of β-derivations. Let M be a prime near ring. If there exist p,q ϵ M and two sided nonzero β-derivation f on M, where β:M→M is a homomorphism, satisfying the following ...
Abdul Rauf Khan +2 more
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Prime Principal Right Ideal Rings [PDF]
arXiv, 2022 Let R be a commutative ring with unity $1\in R$. In this article, we introduce the concept of prime principal right ideal rings (\textbf{PPRIR}), A prime ideal P of R is said to be prime principal right ideal (\textbf{PPRI}) is given by $P =\{ ar : r\in R\}$ for some element a.
arxiv
Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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Conjugates in prime rings [PDF]
Transactions of the American Mathematical Society, 1971 Let R be a prime ring with identity, center ZO GF(2), and a nonidentity idempotent. If R is not finite and if x E R-Z, then x has infinitely many distinct conjugates in R. If R has infinitely many Z-independent elements then x E R-Z has infinitely many Z-independent conjugates.
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Strongly primeness of skew Hurwitz polynomial rings [PDF]
arXiv, 2023 For a ring R and an endomorphism {\alpha} of R, we characterize the left and right strongly primeness of skew Hurwitz polynomial ring (hR, {\alpha}).
arxiv
Smarandache Completely Semi Prime Ideal With Respect To An Element Of A Near Ring
Journal of Kufa for Mathematics and Computer, 2014 In this paper ,we introduce the notions of smarandache completely semi prime ideal (S.C.S.P.I),and smarandache completely semi prime ideal with respect to an element x of a near ring N denoted by (x-S.C.S.P.I) , and smarandache ...
Hussien Hadi Abass +1 more
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