Results 21 to 30 of about 47,216 (313)
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
core +1 more source
On finite division rings [PDF]
Proceedings of the American Mathematical Society, 1980 Herein it is shown that the set of right powers of a generic element of a finite division ring contains a basis of the ring as an algebra over a prime field. This result is then applied to finite flexible division rings of characteristic not 2 to obtain commutativity.
openaire +1 more source
On the number of prime order subgroups of finite groups [PDF]
, 2009 Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C.
Scott, Stuart +3 more
core +1 more source
SMARANDACHE PSEUDO- IDEALS [PDF]
, 2008 In this paper we study the Smarandache pseudo-ideals of a Smarandache ring. We prove every ideal is a Smarandache pseudo-ideal in a Smarandache ring but every Smarandache pseudo-ideal in general is not an ideal. Further we show that every polynomial ring
Vasantha Kandasamy, W. B.
core +1 more source
When is R[x] a principal ideal ring?
Revista Integración, 2018 Because of its interesting applications in coding theory, cryptography, and algebraic combinatoris, in recent decades a lot of attention has been paid to the algebraic structure of the ring of polynomials R[x], where R is a finite commutative ring with ...
Henry Chimal-Dzul, C. A. López-Andrade
doaj +1 more source
Non-Cohen-Macaulay Vector Invariants and a Noether Bound for a Gorenstein Ring of Invariants [PDF]
, 1999 This paper contains two essentially independent results in the invariant theory of finite groups. First we prove that, for any faithful representation of a non-trivial p-group over a field of characteristic p, the ring of vector invariants ofmcopies of
Hughes, I.P. +9 more
core +1 more source
On the probability of zero divisor elements in group rings [PDF]
International Journal of Group Theory, 2022 Let $R$ be a non trivial finite commutative ring with identity and $G$ be a non trivial group. We denote by $P(RG)$ the probability that the product of two randomly chosen elements of a finite group ring $RG$ is zero. We show that $P(RG)
Haval Mohammed Salih
doaj +1 more source
Merging enriched Finite Element triangle meshes for fast prototyping of alternate solutions in the context of industrial maintenance [PDF]
, 2010 A new approach to the merging of Finite Element (FE) triangle meshes is proposed. Not only it takes into account the geometric aspects, but it also considers the way the semantic information possibly associated to the groups of entities (nodes, faces ...
PERNOT, Jean-Philippe +3 more
core +1 more source
A Coefficient Ring for Finite Noncommutative Rings [PDF]
Proceedings of the American Mathematical Society, 1972 We prove that every finite p -ring R contains a unique (up to isomorphism) subring S such that
openaire +2 more sources
Rings with finite decomposition of identity [PDF]
Ukrainian Mathematical Journal, 2011 A ring is called an FDI-ring if it has a decomposition of identity into a finite sum of pairwise orthogonal primitive idempotents. This notion generalizes right Artinian, right Noetherian, semiperfect and Goldie rings. The authors first present a survey of various finiteness conditions related to FDI-rings.
Dokuchaev, M.A. +2 more
openaire +2 more sources