Results 51 to 60 of about 4,472,960 (363)
Diophantine Equation Generated by the Subfield of a Circular Field
Two forms f (x, y, z) and g(x, y, z) of degree 3 were constructed, with their values being the norms of numbers in the subfields of degree 3 of the circular fields K13 and K19 , respectively.
I. G. Galyautdinov, E. E. Lavrentyeva
doaj +1 more source
Pattern Avoidance and the Bruhat Order [PDF]
The structure of order ideals in the Bruhat order for the symmetric group is elucidated via permutation patterns. A method for determining non-isomorphic principal order ideals is described and applied for small lengths.
Tenner, Bridget Eileen
core +4 more sources
On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers [PDF]
C∗-subalgebra of the algebra of all bounded operators on the Hilbert space l2 generated by the multiplier algebra and a family of partial isometries satisfying some relations is covered in the paper.
A.Yu. Kuznetsova, E.V. Patrin
doaj
Principal Primitive Ideals in Quadratic Orders and Pell’s Equations
In this paper, we introduce a method of determining whether the primitive ideal is principal in a real quadratic order, depending on the solvability of Pell’s equation.
Ahmad Issa, Hasan Sankari
doaj +1 more source
Approximations of Maximal and Principal Ideal
In this paper, we will be delving deeper into the connection between the rough theory and the ring theory precisely in the principle and maximal ideal. The rough set theory has shown by Pawlak as good formal tool for modeling and processing incomplete information in information system.
openaire +2 more sources
A Baer-Kaplansky theorem for modules over principal ideal domains [PDF]
We will prove that if $G$ and $H$ are modules over a principal ideal domain $R$ such that the endomorphism rings $\mathrm{End}_R(R\oplus G)$ and $\mathrm{End}_R(R\oplus H)$ are isomorphic then $G\cong H$. Conversely, if $R$ is a Dedekind domain such that
Simion Breaz
semanticscholar +1 more source
Similarity classes of 3x3 matrices over a local principal ideal ring
In this paper similarity classes of three by three matrices over a local principal ideal commutative ring are analyzed. When the residue field is finite, a generating function for the number of similarity classes for all finite quotients of the ring is ...
Amritanshu Prasad+11 more
core +1 more source
The Tambara Structure of the Trace Ideal for Cyclic Extensions
This paper explores the Tambara functor structure of the trace ideal of a Galois extension. In the case of a (pro-)cyclic extension, we are able to explicitly determine the generators of the ideal.
Calle, Maxine+3 more
core +1 more source
A class of principal ideal rings arising from the converse of the Chinese remainder theorem
Let R be a (nonzero commutative unital) ring. If I and J are ideals of R such that R/I⊕R/J is a cyclic R-module, then I+J=R. The rings R such that R/I⊕R/J is a cyclic R-module for all distinct nonzero proper ideals I and J of R are the following three ...
David E. Dobbs
doaj +1 more source
Web spaces and worldwide web spaces: topological aspects of domain theory [PDF]
Web spaces, wide web spaces and worldwide web spaces (alias C-spaces) provide useful generalizations of continuous domains. We present new characterizations of such spaces and their patch spaces, obtained by joining the original topology with a second ...
Marcel Erné
doaj +1 more source