Results 71 to 80 of about 451,522 (183)

Prime Ideals in Enveloping Rings [PDF]

Transactions of the American Mathematical Society, 1987
Let L L be a Lie algebra over the field K K of characteristic 0 0 and let U ( L ) U(L) denote its universal enveloping algebra. If R R is a K K -algebra and L L acts on R R as ...
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About unital and non-unital duo rings [PDF]

Proceedings of the Estonian Academy of Sciences
Several results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper.
Mart Abel, Eva-Lotta Elmanovitš
doaj   +1 more source

FUZZY IDEALS OF NEAR-RINGS WITH INTERVAL VALUED MEMBERSHIP FUNCTIONS [PDF]

Journal of Sciences, Islamic Republic of Iran, 2001
In this paper, for a complete lattice L, we introduce interval-valued L-fuzzy ideal (prime ideal) of a near-ring which is an extended notion of fuzzy ideal (prime ideal) of a near-ring. Some characterization and properties are discussed.
doaj  

Prime Graphs of Polynomials and Power Series Over Noncommutative Rings

International Journal of Mathematics and Mathematical Sciences
The prime graph PGR of a ring R is a graph whose vertex set consists of all elements of R. Two elements x,y∈R are adjacent in the graph if and only if xRy=0 or yRx=0.
Walaa Obaidallah Alqarafi, Wafaa Mohammed Fakieh, Alaa Abdullah Altassan   +2 more
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Lie Isomorphisms of Prime Rings [PDF]

Transactions of the American Mathematical Society, 1969
for all x, y E S. Our interest and viewpoint toward the study of Lie isomorphisms of rings was originally (and still is) inspired by the work done by I. N. Herstein on generalizing classical theorems on the Lie structure of total matrix rings to results on the Lie structure of arbitrary simple rings.
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Approximaitly Semi-Prime Submodules and Some Related Concepts

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019
    We introduce in this paper the concept of approximaitly semi-prime submodules of unitary left -module  over a commutative ring  with identity as a generalization of a prime submodules and semi-prime submodules, also generalization of quasi-prime ...
Ali Sh. Ajeel, Haibat K. Mohammad ali
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A theorem for prime rings [PDF]

Proceedings of the American Mathematical Society, 1979
Let n be a positive integer and let R be a prime ring either of characteristic zero or of characteristic ⩾ n \geqslant n . Then for any a 1 , a 2 , … , a
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On (σ, δ)(S, 1) rings and their extensions [PDF]

Mathematica Moravica, 2017
Let R be a ring, σ an endomorphism of R and δ a σ derivation of R. We recall that R is called an (S, 1)-ring if for a, b _ R, ab = 0 implies aRb = 0. We involve σ and δ to generalize this notion and say that R is a (σ, δ) - (S, 1) ring if for a, b _ R ...
Bhat Kumar Vijay
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The Conversion of 5,5′-Bi(1,2,3-dithiazolylidenes) into Isothiazolo[5,4-d]isothiazoles

Molecules, 2018
Thermolysis of 4,4′-dichloro-, 4,4′-diaryl-, and 4,4′-di(thien-2-yl)-5,5′-bi(1,2,3-dithiazol-ylidenes) affords the respective 3,6-dichloro-, 3,6-diaryl- and 3,6-di(thien-2-yl)isothiazolo[5,4-d]-isothiazoles in low to high yields ...
Lidia S. Konstantinova, Ilia V. Baranovsky, Vlada V. Strunyasheva, Andreas S. Kalogirou, Vadim V. Popov, Konstantin A. Lyssenko, Panayiotis A. Koutentis, Oleg A. Rakitin   +7 more
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On S-2-Prime Ideals of Commutative Rings

Mathematics
Prime ideals and their generalizations are crucial in numerous research areas, particularly in commutative algebra. The concept of generalization of prime ideals begins with the study of weakly prime ideals.
Sanem Yavuz, Bayram Ali Ersoy, Ünsal Tekir, Ece Yetkin Çelikel   +3 more
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