Results 21 to 30 of about 3,987 (248)

Generalized rational identities of power series rings

Journal of Algebra, 1986
Let A be a fixed algebra over a field F and let \(X=\{X_ 1,...,X_ m\}\) be noncommuting variables. Denote by R(X,A) the algebra of all formal rational expressions formed from \(X\cup A\). The ring P is an A-ring if A is a subring of P and the centre of P contains that of A. One says that \(f(X_ 1,...,X_ m)\in R(X,A)\) is a generalized rational identity
Rosen, Jerry D, Rosen, Mary Peles
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Algebraic properties of rings of generalized power series

Annals of Pure and Applied Logic, 2002
eummary: The fields \(K((G))\) of generalized power series with coefficients in a field \(K\) and exponents in an additive Abelian ordered group \(G\) play an important role in the study of real closed fields. The subrings \(K((G^{\leq 0}))\) consisting of series with nonpositive exponents find applications in the study of models of weak axioms for ...
Daniel Pitteloud
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On zip and weak zip rings of skew generalized power series

Journal of the Egyptian Mathematical Society, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salem, R.M.
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Smarandache rings [PDF]

, 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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Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem, Ramy Abdel-Khalek, Mostafa Hamam   +2 more
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Generic Fiber of Power Series Ring Extensions [PDF]

Communications in Algebra, 2009
Let D be a Noetherian domain containing a field, d a nonzero nonunit of D and z an indeterminate over D. We prove that the generic fiber of D[1/d][[z]] over D[[z]] has dimension greater than the dimension of D/dD.
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Semi-Baer and Semi-Quasi Baer Properties of Skew Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of semi-Baer and semi-quasi Baer rings were introduced by Waphare and Khairnar as extensions ...
Mostafa Hamam, Ramy Abdel-Khaleq, Refaat Salem   +2 more
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Total and Local Quadratic Indices of the Molecular Pseudograph's Atom Adjacency Matrix: Applications to the Prediction of Physical Properties of Organic Compounds

Molecules, 2003
A novel topological approach for obtaining a family of new molecular descriptors is proposed. In this connection, a vector space E (molecular vector space), whose elements are organic molecules, is defined as a “direct sum“ of different ℜi
Yovani Marrero Ponce
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Unique factorization in generalized power series rings [PDF]

Proceedings of the American Mathematical Society, 2005
Let K K be a field of characteristic zero and let
Pommersheim, James, Shahriari, Shahriar
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IDEMPOTENT MATRIX OVER SKEW GENERALIZED POWER SERIES RINGS

, 2022
Let $R[[S,\leq,\omega]]$ be a skew generalized power series ring, with $R$ is a ring with an identity element, $(S,\leq)$ a strictly ordered monoid, and $\omega:S\rightarrow End(R)$ a monoid homomorphism.
Faisol, Ahmad, Fitriani, Fitriani
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