Results 1 to 10 of about 11,317,036 (365)

Power-Associative Rings [PDF]

Transactions of the American Mathematical Society, 1948
Ein ausführliches Eingehen auf die Ergebnisse dieser Arbeit erübrigt sich heute auf Grund der inzwischen erschienenen, anschließend referierten Arbeit [Zbl 0033.15403] über Spur-zulassende Algebren.
A. A. Albert
semanticscholar   +4 more sources

ASSOCIATIVE RINGS SOLVED AS LIE RINGS

Наука и техника, 2011
The paper has proved that an associative ring which is solvable of a n- class as a Lie ring has a nilpotent ideal of the nilpotent class not more than 3×10n–2  and a corresponding quotient ring satisfies an identity [[x1, x2, [x3, x4]], x5] = 0.
M. B. Smirnov
doaj   +1 more source

Simplen-associative rings [PDF]

Pacific Journal of Mathematics, 1966
David L. Outcalt
openalex   +3 more sources

Morita contexts and unitary ideals of rings [PDF]

Proceedings of the Estonian Academy of Sciences, 2021
In this paper we study Morita contexts between rings without identity. We prove that if two associative rings are connected by a Morita context with surjective mappings, then these rings have isomorphic quantales of unitary ideals.
Kristo Väljako, Valdis Laan
doaj   +1 more source

Free products of cyclic groups in groups of infinite unitriangular matrices

Математичні Студії, 2023
Groups of infinite unitriangular matrices over associative unitary rings are considered. These  groups naturally act on infinite dimensional free modules over underlying rings. They are profinite in case underlying rings are finite.
A. Oliynyk
doaj   +1 more source

Derivations of rings of infinite matrices

Researches in Mathematics, 2023
We describe derivations of several important associative and Lie rings of infinite matrices over general rings of coefficients.
O.O. Bezushchak
doaj   +1 more source

On the automorphism groups of some Leibniz algebras [PDF]

International Journal of Group Theory, 2023
We study the automorphism groups of finite-dimensional cyclic Leibniz algebras. In this connection, we consider the relationships between groups, modules over associative rings and Leibniz algebras.
Leonid Kurdachenko, Aleksand Pypka, Igor Subbotin   +2 more
doaj   +1 more source

On the C-flatness and injectivity of character modules

Electronic Research Archive, 2022
Let $ R, S $ be arbitrary associative rings and $ _RC_S $ a semidualizing bimodule. We give some equivalent characterizations for $ R $ being left coherent (and right perfect) rings, left Noetherian rings and left Artinian rings in terms of the $ C $-($ {
Zhaoyong Huang
doaj   +1 more source

Images of formal matrices of elements of matrix groups over associative rings

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020
The paper substantiates the image by formal matrices of some elements of linear groups over associative rings by using the properties of redundant and fixed modules.
В. М. Петечук, Ю. В. Петечук   +1 more
doaj   +1 more source

Reverse order law for outer inverses and Moore-Penrose inverse in the context of star order [version 1; peer review: 2 approved]

F1000Research, 2022
The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined.
Manjunatha Prasad Karantha, Umashankara Kelathaya   +1 more
doaj   +1 more source