Results 21 to 30 of about 3,828 (293)

Jacobson radicals of ring extensions

Journal of Pure and Applied Algebra, 2012
We extend existing results on the Jacobson radical of skew polynomial rings of derivation type when the base ring has no nonzero nil ideals. We then move to the more general situation of algebras with locally nilpotent skew derivations and examine the ...
Grzeszczuk, Piotr, Bergen, Jeffrey
core   +2 more sources

Fuzzy Small Submodule and Jacobson 𝐿-Radical

International Journal of Mathematics and Mathematical Sciences, 2011
Using the notion of fuzzy small submodules of a module, we introduce the concept of fuzzy coessential extension of a fuzzy submodule of a module. We attempt to investigate various properties of fuzzy small submodules of a module.
Saifur Rahman, Helen K. Saikia
doaj   +2 more sources

The Jacobson Radical and Regular Modules

Canadian Mathematical Bulletin, 1975
Let A be an associative, but not necessarily commutative, ring with identity, and J = J(A) its Jacobson radical. A (unital) module is regular iff every submodule is pure (see (1)).
David J. Fieldhouse
core   +3 more sources

The Jacobson Radical for Analytic Crossed Products

Journal of Functional Analysis, 2001
We characterise the Jacobson radical of an analytic crossed product C0(X) xφ ℤ+, answering a question first raised by Arveson and Josephson in 1969. In fact, we characterise the Jacobson radical of analytic crossed products C0(X) xφ ℤ+d. This consists of
Allan P Donsig
exaly   +1 more source

The Jacobson radical for analytic crossed products

Journal of Functional Analysis, 2000
We characterise the (Jacobson) radical of the analytic crossed product of C_0(X) by the non-negative integers (Z_+), answering a question first raised by Arveson and Josephson in 1969.
Donsig, Allan P, Donsig, Allan P., Katavolos, Aristides, Manoussos, Antonios   +3 more
core   +4 more sources

A Bezout ring with nonzero principal Jacobson radical

Karpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, we study a commutative Bezout domain with nonzero Jacobson radical being a principal ideal. It has been proved that such a Bezout domain is a ring of the stable range 1.
A.I. Gatalevych, A.A. Dmytruk
doaj   +1 more source

The Jacobson radical for an inconsistency predicate

Computability, 2022
As a form of the Axiom of Choice about relatively simple structures (posets), Hausdorff’s Maximal Chain Principle appears to be little amenable to computational interpretation. This received view, however, requires revision: maximal chains are more reminiscent of maximal ideals than it seems at first glance.
Schuster, Peter, Wessel, Daniel
openaire   +2 more sources

Left Braces: Solutions of the Yang-Baxter Equation [PDF]

Advances in Group Theory and Applications, 2018
This is a survey on the theory of left braces, an algebraic structure introduced by Rump as a generalization of Jacobson radical rings to study non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation.
Ferran Cedó
doaj   +1 more source

WEAK IDEMPOTENT NIL-CLEAN RING [PDF]

Journal of Algebraic Systems
We introduce the concept of a weak idempotent nil-clean ring as a generalization of a weakly nil-clean ring. We give certain characterizations for weak idempotent nil-clean rings in terms of Jacobson radical and nil radical.
Biadiglign Asmare, Tilahun Abebaw, Kolluru Venkateswarlu   +2 more
doaj   +1 more source

Fuzzy essential-small submodules and fuzzy small-essential submodules [PDF]

Journal of Hyperstructures, 2020
In this paper, we introduce the concepts of a fuzzy essential-small submodule and a fuzzy small-essential submodule ofa module. We investigate various properties of such fuzzy submodules.
Jyoti Ashok Khubchandani, Shriram Khanderao Nimbhorkar   +1 more
doaj   +1 more source