Results 101 to 110 of about 117,907,174 (136)

On the Arithmetic in a Group Ring. [PDF]

Proc Natl Acad Sci U S A, 1944
Brauer R.
europepmc   +1 more source

Algebraic Theory of Continuous Geometries. [PDF]

Proc Natl Acad Sci U S A, 1937
Neumann JV.
europepmc   +1 more source

Continuous Rings and Their Arithmetics. [PDF]

Proc Natl Acad Sci U S A, 1937
Neumann JV.
europepmc   +1 more source

On a class of noncommutative Jordan algebras. [PDF]

Proc Natl Acad Sci U S A, 1966
europepmc   +1 more source

Ideals in Hom-Associative Weyl Algebras

International Electronic Journal of Algebra
We introduce hom-associative versions of the higher order Weyl algebras, generalizing the construction of the first hom-associative Weyl algebras. We then show that the higher order hom-associative Weyl algebras are simple, and that all their one-sided ideals are principal.
Per Back
exaly   +6 more sources

Ideals and Homomorphism Theorems of Fuzzy Associative Algebras

Mathematics
Based on the definitions of fuzzy associative algebras and fuzzy ideals, it is proven that the intersections of fuzzy subalgebras are fuzzy subalgebras, and the intersections of fuzzy ideals are fuzzy ideals. Moreover, we prove that the kernels of fuzzy homomorphisms are fuzzy ideals.
Yang, Xiaoman, Zhou, Xin
exaly   +4 more sources

Modules and Ideals of Algebras of Associative Type

Russian Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N A Koreshkov
exaly   +3 more sources

Associated Prime Ideals of the Amalgamated Algebra

Bulletin of the Iranian Mathematical Society, 2022
Let \(R\) and \(S\) be commutative rings with unity, \(J\) an ideal of \(S\), and \(f:R\longrightarrow S\) a ring homomorphism. In this paper, the author determines the set of associated prime ideals of amalgamated algebra \(R\bowtie^{f} J\), when \(f\) is surjective. Let \(\mathcal{A}_{1}:= \{p\bowtie^{f}J \mid p\in \mathrm{Ass}(R)\}\); \(\mathcal{A}_{
openaire   +1 more source

On Associator Ideals in Jordan Algebras

Southeast Asian Bulletin of Mathematics, 2000
In this paper the authors introduce in a Jordan context the concept of associator semisimple. Let \(J\) be a Jordan algebra over a field of characteristic \(0.\) A subspace \(U\) of \(J\) is said to be an associator ideal of \(J\) if \((U,J,J)\subset U,\) for \((\;, \;, \;)\) the associator of \(J.\) If \(U\) is an associator ideal in \(J\) we can ...
Rema, P. S., Sribala, S., Vijayarangan, N.   +2 more
openaire   +2 more sources

One-Sided Ideal Growth of Free Associative Algebras

Monatshefte Fur Mathematik, 2006
For a finitely generated associative algebra over a finite field \(\mathbb{F}_q\), the author defines the left ideal growth as the number \(a_n(R)\) of left ideals \(J\) of codimension \(n\) in \(R\). Similarly, \(m_n(R)\) is the number of maximal left ideals of codimension \(n\).
V M Petrogradsky
exaly   +2 more sources