Results 1 to 10 of about 192 (117)
Some contribution to study of general relative prime and weakly prime bi-hyperideals in ordered hypersemigroups [PDF]
In this paper, we introduce G-hyperideal, G-prime hyperideal, G-prime-bi-hyperideal, and G-weakly prime hyperideal in ordered semihypergroups and we also define G-regular ordered hypersemigroups as well as G-semisimple ordered hypersemigroups.
A. Basar +4 more
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On Ideals in Partially Ordered Ternary Semigroups
The concept of ideals has been extensively studied through various algebraic structures such as near-rings, involution rings, regular rings, gamma-rings, semigroups, ordered semigroups, ternary semigroups and ordered ternary semigroups.
Dattatray Nabajirao Shinde +1 more
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Endo-Noetherian Skew Generalized Power Series Rings [PDF]
Endo-Noetherian modules were introduced by A. Kaidi and E. Sanchez] as a generalization of Noetherian modules. A left Ɍ-module M which satisfies the ascending chain condition for endomorphic kernels is said to be endo-Noetherian.
Ramy Abdel-Khaleq +2 more
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The Ring Homomorphisms of Matrix Rings over Skew Generalized Power Series Rings
Let M_n (R_1 [[S_1,≤_1,ω_1]]) and M_n (R_2 [[S_2,≤_2,ω_2]]) be a matrix rings over skew generalized power series rings, where R_1,R_2 are commutative rings with an identity element, (S_1,≤_1 ),(S_2,≤_2 ) are strictly ordered monoids, ω_1:S_1→End(R_1 ),〖
Ahmad Faisol, Fitriani Fitriani
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Lattice-ordered rings and function rings [PDF]
Introduction: This paper treats the structure of those lattice-ordered rings which are subdirect sums of totally ordered rings—the f-rings of Birkhoff and Pierce [4]. Broadly, it splits into two parts, concerned respectively with identical equations and with ideal structure; but there is an important overlap at the beginning. D. G. Johnson has shown [9]
Henriksen, Melvin, Isbell, J. R.
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Ordering an Engagement Ring [PDF]
In this issue of Molecular Cell, Tomko et al. (2010) establish that the six distinct ATPase subunits of the eukaryotic proteasome form a heterohexameric ring and resolve how the subunits are arranged within the ring.
Hoyt, Martin A., Coffino, Philip
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Ordering Orders and Quotient Rings [PDF]
In the present paper, we introduce a general notion of quotient ring which is based on inverses along an element. We show that, on the one hand, this notion encompasses quotient rings constructed using various generalized inverses. On the other hand, such quotient rings can be viewed as Fountain–Gould quotient rings with respect to appropriate subsets.
Guterman, Alexander +2 more
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Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion [PDF]
The hard-core lattice gas on a triangular lattice with up to thirdneighbour exclusion has been simulated by the transfer matrix method. To calculate the transfer matrix a special algorithm for generating rings is used.
A. V. Myshlyavtsev, M. D. Myshlyavtseva
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The ways are analyzed in which a given \(*\)-ordering on the set of symmetric elements can be extended to a multiplicatively closed ordering on a larger set of elements. To extend the valuation-theoretic characterization of \(*\)-orderings for \(*\)-fields to \(*\)-rings \(R\) (with involution), the authors strengthen the definition of an extended \(*\)
Craven, Thomas C, Smith, Tara L
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Ordered Rings and Fields [PDF]
Summary We introduce ordered rings and fields following Artin-Schreier’s approach using positive cones. We show that such orderings coincide with total order relations and give examples of ordered (and non ordered) rings and fields. In particular we show that polynomial rings can be ordered in (at least) two different ways [8, 5, 4, 9].
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