Results 21 to 30 of about 1,025,286 (103)
In a recent study of a specific class of quasi-Frobenius rings, Feller has found it useful to introduce the X-rings ([3]). He suggested among others the following topics:(A)Determine the properties of completely indecomposable rings and matrix rings over
Abraham Zaks
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In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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The Structure of Quasi-Frobenius Rings
Utilizing a matrix representation of semiperfect rings by a family of bimodules over local rings, we describe the structure of generalized quasi-Frobenius rings in two steps: a cyclic generalized quasi-Frobenius ring is a matrix ring over a cycle of ...
Bruno J. Müller
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The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
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Socle conditions for QF-1 rings [PDF]
Ringel CM. Socle conditions for QF-1 rings. Pacific Journal of Mathematics.
Ringel, Claus Michael
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Syntomic cohomology and real topological cyclic homology
Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source
Deep Learning‐Based Phase‐Field Modelling of Brittle Fracture in Anisotropic Media
ABSTRACT This work presents a variational physics‐informed deep learning framework for phase‐field modelling of brittle crack propagation in anisotropic media. Previous variational energy‐based neural network (NN) approaches have focused on second‐order, isotropic phase‐field fracture formulations and have relied on fully connected NNs.
Nojus Plungė +3 more
wiley +1 more source
A Note on Quasi-Frobenius Rings and Ring Epimorphisms
In this note, we characterize quasi-Frobenius rings by a weakened form of the usual condition, that every ideal is an annihilator ideal.We then apply this result to pure rings in the sense of Cohn and to dominant rings, a concept arising in the study of ...
H. H. Storrer
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String topology via the coHochschild complex and local intersections
Abstract We construct an algebraic model for the Chas–Sullivan product and the Goresky–Hingston coproduct in string topology. The construction takes as its initial input a simplicial complex equipped with a local pairing on its simplicial chains, for instance, a homology manifold with its local intersection pairing.
Manuel Rivera, Alex Takeda
wiley +1 more source
Prismatic F‐crystals and Wach modules
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley +1 more source

