Results 31 to 40 of about 165,977,654 (290)
, 2006 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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Bounds for Coding Theory over Rings
Entropy, 2022 Coding theory where the alphabet is identified with the elements of a ring or a module has become an important research topic over the last 30 years. It has been well established that, with the generalization of the algebraic structure to rings, there is
Niklas Gassner +3 more
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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On some integral representations of groups and global irreducibility. [PDF]
International Journal of Group Theory, 2018 Arithmetic aspects of integral representations of finite groups and their irreducibility are considered with a focus on globally irreducible representations and their generalizations to arithmetic rings.
Dmitry Malinin
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IEEE Access, 2023 A code over Gaussian or Eisenstein integer residue ring is an additive group of vectors with entries in this integer residue ring which is closed under the action of constant multiplication by the Gaussian or Eisenstein integers. In this paper, we define
Hajime Matsui
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SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]
, 2002 An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
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Neutrosophic triplets in some neutrosophic rings
Cumhuriyet Science Journal, 2020 In this paper, some mistakes about the neutrosophic triplets of some neutrosophic rings in the literature are pointed out and corrected. For this purpose, the neutrosophic triplets in neutrosophic rings , and where Z, Q and R denote the ring of ...
Doğukan Ozan, Yilmaz Çeven
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Tripotents: a class of strongly clean elements in rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Periodic elements in a ring generate special classes of strongly clean elements. In particular, elements b such that b = b3+, which are called tripotents and include idempotents, negative of idempotents and order 2 units, are strongly clean.
Călugăreanu Grigore
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On structure of certain periodic rings and near-rings
International Journal of Mathematics and Mathematical Sciences, 2000 The aim of this work is to study a decomposition theorem for rings satisfying either of the properties xy=xpf(xyx)xq or xy=xpf(yxy)xq, where p=p(x,y),q=q(x,y) are nonnegative integers and f(t)∈tℤ[t] vary with the pair of elements x,y, and further ...
Moharram A. Khan
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Rings of Multisets and Integer Multinumbers [PDF]
Mathematics, 2022 In the paper, we consider a ring structure on the Cartesian product of two sets of integer multisets. In this way, we introduce a ring of integer multinumbers as a quotient of the Cartesian product with respect to a natural equivalence. We examine the properties of this ring and construct some isomorphisms to subrings of polynomials and Dirichlet ...
Yuriy Chopyuk +2 more
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