Results 51 to 60 of about 91,509 (288)
Generalizations of strongly hollow ideals and a corresponding topology
AIMS Mathematics, 2021 In this paper, we introduce and study the notions of $ M $-strongly hollow and $ M $-PS-hollow ideals where $ M $ is a module over a commutative ring $ R $. These notions are generalizations of strongly hollow ideals.
Seçil Çeken , Cem Yüksel
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Two-Local derivations on associative and Jordan matrix rings over commutative rings
, 2017 In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring.
Arzikulov, Farhodjon, Ayupov, Shavkat
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Commutative subdirectly irreducible rings [PDF]
Proceedings of the American Mathematical Society, 1957 Introduction. A subdirectly irreducible ring is one in which the intersection of all the nonzero ideals is a nonzero ideal. Such rings are important not only because every ring is isomorphic to a subdirect sum of subdirectly irreducible rings, but also because the theory of rings without chain conditions uses the concept heavily. Our major knowledge of
openaire +1 more source
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Derivation Requirements on Prime Near-Rings for Commutative Rings
Jurnal Ilmu Dasar, 2019 Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative ...
Dian Winda Setyawati +2 more
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On symmetric units in group algebras
, 2000 Let $U(KG)$ be the group of units of the group ring $KG$ of the group $G$ over a commutative ring $K$. The anti-automorphism $g\mapsto g\m1$ of $G$ can be extended linearly to an anti-automorphism $a\mapsto a^*$ of $KG$. Let $S_*(KG)=\{x\in U(KG) \mid x^*
Bovdi, Victor
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An Alternative Approach to Spontaneous Photon Triplets Generation
Advanced Physics Research, EarlyView.Day by day, communication and computing technologies are progressing at a lightning speed, which is particularly true of the quantum version of these technologies (QIST). Increasingly, these technologies are emerging from unusual and sometimes bewildering quantum optical effects, which are based on exotic quantum physical theories.
Serge Gauvin
wiley +1 more source
Some results on the total zero-divisor graph of a commutative ring [PDF]
Arab Journal of Mathematical SciencesPurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
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The space of finitely generated rings
, 2009 The space of marked commutative rings on n given generators is a compact metrizable space. We compute the Cantor-Bendixson rank of any member of this space.
Cornulier, Yves
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Fully Quantum Perturbative Description of Correlated Stokes–Anti‐Stokes Scattering
physica status solidi (b), EarlyView.The generation of Stokes‐anti‐Stokes (SaS) photon pairs with quantum correlations, like entanglement, has been developing recently, but a proper theoretical ground was missing. A fully quantum perturbative theory is provided to describe the four‐wave mixing contribution to the correlated SaS scattering, in which both matter and electromagnetic field ...
Raul Corrêa +3 more
wiley +1 more source