Results 11 to 20 of about 1,025 (137)
SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]
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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Properties and examples of FCR-algebras [PDF]
An algebra A over a field k is FCR if every finite dimensional representation of A is completely reducible and the intersection of the kernels of these representations is zero.
Kraft, Hanspeter +2 more
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Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]
It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
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Poisson algebras via model theory and differential-algebraic geometry [PDF]
Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim +8 more
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JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH [PDF]
We show that over every countable algebraically closed field K there exists a finitely generated K-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth.
Young, Alexander A., Smoktunowicz, Agata
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Zassenhaus conjecture for central extensions of S5 [PDF]
We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
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Operads and Γ-homology of commutative rings [PDF]
We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology.
Robinson, Alan (C. Alan) +1 more
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TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
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LINKAGE AND DUALITY OF MODULES [PDF]
Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
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Exceptional Sequences over Graded Cohen-Macaulay Rings [PDF]
The concept of exceptional sequences was developed by Gorodentsev and Rudakov in [3] and generalized by Bondal in [1].
Tokuji Araya, Araya, Tokuji
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