Efficient algorithms for compressed sensing and matrix completion by Wei, K

“…The computational efficacy of this method is achieved by reducing the high per iteration computational cost of the second order method and fully exploring the numerical linear algebra structure in the algorithm. Empirical evaluations establish the effectiveness of the proposed algorithms, compared with other state-of-the-art algorithms.…”

Algebraic Geometry over C-infinity rings by Joyce, D

“…Thus, C^\infty(X) actually has a far richer structure than the obvious R-algebra structure. We develop a version of algebraic geometry in which rings or algebras are replaced by C-infinity rings. …”

Completely iterative monads in semantics of coinductive programs by Pirog, M

“…Thus, the results apply not only to semantics and programming, but can be construed as a general investigation of algebraic structures with iteration.</p>…”

Algebraic geometry over $C^\infty$-rings by Joyce, D

“…Thus, $C^\infty(X)$ actually has a far richer structure than the obvious $\mathbb R$-algebra structure. We develop a version of algebraic geometry in which rings or algebras are replaced by $C^\infty$-rings. …”

Configurations in abelian categories. II. Ringel-Hall algebras by Joyce, D

“…We also study representations of CF(Obj_A), the Lie subalgebra CF^ind(Obj_A) of functions supported on indecomposables, and other algebraic structures on CF(Obj_A). Then we generalize these ideas to stack functions SF(Obj_A), a universal generalization of constructible functions on stacks introduced in math.AG/0509722, containing more information. …”

Fuzzy ideals in ordered semigroups and their generalisations by Khan, Faiz Muhammad

“…The fuzzification of algebraic structures, particularly ordered semigroups, playa prominent role in mathematics with diverse applications in many applied branches such as computer arithmetic, control engineering, errorcorrecting codes and formal languages. …”
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Classification of Data Mining Techniques under the Environment of T-Bipolar Soft Rings by Jabbar Ahmmad, Turki Alsuraiheed, Meraj Ali Khan, Tahir Mahmood

“…The notion of a T-bipolar soft set (TBSS) is a valuable parameterization tool and is closer to the concept of bipolarity. Moreover, algebraic structures like groups, rings, and modules, etc., are basic tools that can be helpful not only in mathematics but also in other scientific areas due to their symmetric properties. …”
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Linear Diophantine Fuzzy Relations and Their Algebraic Properties with Decision Making by Saba Ayub, Muhammad Shabir, Muhammad Riaz, Muhammad Aslam, Ronnason Chinram

“…Based on these operations and their related results, it is analyzed that the collection of all LDF-relations gives rise to some algebraic structures such as semi-group, semi-ring and hemi-ring. …”
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Neutrosophic Components Semigroups and Multiset Neutrosophic Components Semigroups by Vasantha W. B., Ilanthenral Kandasamy, Florentin Smarandache

“…Neutrosophic components (NC) under addition and product form different algebraic structures over different intervals. In this paper authors for the first time define the usual product and sum operations on NC. …”
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The Canonical Isomorphisms in the Yetter-Drinfeld Categories for Dual Quasi-Hopf Algebras by Yan Ning, Daowei Lu, Xiaofan Zhao

“…In this paper, let <i>H</i> be a dual quasi-Hopf algebra which is a more general Hopf algebra structure. A. Balan firstly introduced the notion of right-right Yetter-Drinfeld modules over <i>H</i> and studied its Galois extension. …”
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The Ring-LWE Problem in Lattice-Based Cryptography: The Case of Twisted Embeddings by Jheyne N. Ortiz, Robson R. de Araujo, Diego F. Aranha, Sueli I. R. Costa, Ricardo Dahab

“…Several works have characterized weak instances of the Ring-LWE problem by exploring vulnerabilities arising from the use of algebraic structures. Although these weak instances are not addressed by worst-case hardness theorems, enabling other ring instantiations enlarges the scope of possible applications and favors the diversification of security assumptions. …”
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Some Examples of BL-Algebras Using Commutative Rings by Cristina Flaut, Dana Piciu

“…BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. …”
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Noncommutative symmetric functions of type B by Chow, Chak-On, 1968-

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Pictures of processes by Kissinger, A

“…Notably, we illustrate how the algebraic structures induced by these operations correspond to the (partial) arithmetic operations of addition and multiplication on the complex projective line.…”

Canonical extensions of bounded lattices and natural duality for default bilattices by Craig, A, Andrew Craig

“…Bilattices are doubly-ordered algebraic structures which find application in reasoning about inconsistent and incomplete information. …”

<i>p</i>-Numerical Semigroups of Generalized Fibonacci Triples by Takao Komatsu, Shanta Laishram, Pooja Punyani

“…There are some interesting connections between Frobenius numbers and geometric and algebraic structures that exhibit symmetry properties.…”
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Vacuum and Spacetime Signature in the Theory of Superalgebraic Spinors by Vadim Monakhov

“…It is based on a superalgebraic formulation of the theory of algebraic spinors. New algebraic structures playing role of Dirac matrices are constructed on the basis of Grassmann variables, which we call gamma operators. …”
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Subcubic equivalences between path, matrix, and triangle problems by Williams, VV, Williams, RR

“…In fact, we show generic equivalences between matrix products over a large class of algebraic structures used in optimization, verifying a matrix product over the same structure, and corresponding triangle detection problems over the structure. …”
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ALJABAR MAX-PLUS BILANGAN KABUR DAN PENERAPANNYA PADA MASALAH PENJADWALAN DAN JARINGAN ANTRIAN KABUR by , M. ANDY RUDHITO, , Prof. Dr. Sri Wahyuni, M.Si.

“…The finding shows that the fuzzy numbers max-plus algebra structure is a commutative idempotent semiring. …”

Classification of two-dimensional algebras using matrices of structure constants approach by Ahmed, Houida Mohammed Hussein

“…We also present all possible evolution algebra structures on two-dimensional vector space over any algebraically closed field. …”
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