Results 21 to 30 of about 180 (160)
Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) [PDF]
Neutrosophic Sets and Systems, 2020 : In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a ...
Florentin Smarandache
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A Note on Linear Codes over Semigroup Rings
Trends in Computational and Applied Mathematics, 2011 . In this paper, we introduced new construction techniques of BCH, alternant, Goppa, Srivastava codes through the semigroup ring B[X; 13Z0] instead of the polynomial ring B[X; Z0], where B is a finite commutative ring with identity, and for these ...
Antonio Aparecido de Andrade +2 more
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Rings with a finite set of nonnilpotents
International Journal of Mathematics and Mathematical Sciences, 1979 Let R be a ring and let N denote the set of nilpotent elements of R. Let n be a nonnegative integer. The ring R is called a θn-ring if the number of elements in R which are not in N is at most n. The following theorem is proved: If R is a θn-ring, then R
Mohan S. Putcha, Adil Yaqub
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Free subsemigroups in automorphism group of a polynomial ring of two variables over number fields
Karpatsʹkì Matematičnì Publìkacìï, 2013 Sufficient conditions under which the semigroup generated by two automorphism of the polynomial ring in two variables over a number field $P$ will be free are given.
Zh. I. Dovghey, M. I. Sumaryuk
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Rings Graded By a Generalized Group
Topological Algebra and its Applications, 2014 The aim of this paper is to consider the ringswhich can be graded by completely simple semigroups.We show that each G-graded ring has an orthonormal basis, where G is a completely simple semigroup. Weprove that if I is a complete homogeneous ideal of a G-
Fatehi Farzad, Molaei Mohammad Reza
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Computation, 2022 Cayley hash values are defined by paths of some oriented graphs (quivers) called Cayley graphs, whose vertices and arrows are given by elements of a group H. On the other hand, Brauer messages are obtained by concatenating words associated with multisets
María Alejandra Osorio Angarita +4 more
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Journal of the Australian Mathematical Society, 1975 A subsetSof a ringRis a left semigroup ideal ofRifRS⊈ R, and a left ring ideal ofRif in additionSis a subring ofR. Gluskin (1960) investigated those rings with 1 which possess the property: (λ) every left semigroup ideal is a left ring ideal.
Cresp, J., Sullivan, R. P.
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Source of semiprimeness of $\ast$-prime rings
Journal of Amasya University the Institute of Sciences and TechnologyThis study constructs a structure $S_{R}^{\ast}$ that had never been studied before and obtained new results by defining a subset $S_{R}^{\ast}$ of $R$ as$S_{R}^{\ast}=\left\{ \left.
Barış Albayrak +2 more
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Recent results on weakly factorial domains
ITM Web of Conferences, 2018 In this paper, we will survey recent results on weakly factorial domains base on the results of [11, 13, 14]. LetD be an integral domain, X be an indeterminate over D, d ∈ D, R = D[X,d/X] $P_{\textrm{rad}} \propto P_{\textrm{sw}}^{1.2}$ D[X,dX] be a ...
Gyu Whan Chang
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Semigroup Forum, 1987 This survey aims to accumulate all known results about semigroup rings, systematizing them around some central themes. It is planned to have 3 parts. The first part is devoted to the multiplicative semigroup of semigroup rings, and begins with a list of unified notations and terminology.
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