Results 31 to 40 of about 3,342 (65)

Idempotents and structures of rings [PDF]

open access: yes, 2016
Recall that an n-by-n generalized matrix ring is defined in terms of sets of rings (Formula presented.)-bimodules (Formula presented.) and bimodule homomorphisms (Formula presented.), where the set of diagonal matrix units (Formula presented.) form a ...
Birkenmeier, G. F.   +2 more
core   +1 more source

Vector valued logarithmic residues and the extraction of elementary factors [PDF]

open access: yes
An analysis is presented of the circumstances under which, by the extraction of elementary factors, an analytic Banach algebra valued function can be transformed into one taking invertible values only. Elementary factors are generalizations of the simple
Bart, H., Silbermann, B., Ehrhardt, T.
core  

On inverse categories with split idempotents [PDF]

open access: yes, 2015
summary:We present some special properties of inverse categories with split idempotents. First, we examine a Clifford-Leech type theorem relative to such inverse categories.
Schwab, Emil Daniel, Schwab, Emil
core   +1 more source

Algebras generated by two idempotents [PDF]

open access: yes, 1981
It is shown that a noncommutative simple algebra generated over a field F by two idempotents is necessarily the ring of 2×2 matrices over a simple extension of F, and that every matrix ring over a field K can be generated over K by three ...
Laffey, Thomas J., Thomas J. Laffey
core   +1 more source

Idempotents à la mod

open access: yes, 2012
An idempotent satisfies the equation x2 = x. In ordinary arithmetic, this is so easy to solve it’s boring. We delight the mathematical palette here, topping idempotents off with modular arithmetic and a series of exercises determining for which n there ...
Sibley, Thomas Q.
core   +1 more source

Lifting Idempotents in Associative Pairs [PDF]

open access: yes, 1999
In 1977, Nicholson developed the theory of suitable rings (Trans. Amer. Math. Soc.229 (1977), 269–278), namely, those in which idempotents lift modulo every left (right) ideal.
Sánchez Campos, Esperanza   +5 more
core   +1 more source

Idempotents in Cyclic Codes

open access: yes, 2012
Cyclic codes give us the most probable method by which we may detect and correct data transmission errors. These codes depend on the development of advanced mathematical concepts.
NC DOCKS at East Carolina University   +1 more
core  

Lifting to non-integral idempotents [PDF]

open access: yes, 2001
In the first section of this paper, we illustrate (for a finite group G and the field of fractions K of a suitable complete dvr R) how to produce all central idempotents of Z(KG) from knowledge of the images of Z(RG) modulo certain powers of J(R). In the
Robinson, Geoffrey R.   +2 more
core   +1 more source

Idempotents in intensional type theory

open access: yes, 2017
We study idempotents in intensional Martin-L\"of type theory, and in particular the question of when and whether they split. We show that in the presence of propositional truncation and Voevodsky's univalence axiom, there exist idempotents that do not ...
Shulman, Michael, Michael Shulman
core   +1 more source

Unbounded nilpotents and idempotents [PDF]

open access: yes, 1988
This paper is concerned with unbounded operators in Hilbert space with domain containing their range and, in particular, investigates unbounded nilpotents and ...
Schôichi, Ôta
core   +1 more source

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