Results 311 to 320 of about 94,858 (343)

LEFT QUOTIENT RINGS OF ALTERNATIVE RINGS

Journal of Algebra and Its Applications, 2007
In this paper we develop a Fountain–Gould-like Goldie theory for alternative rings. We characterize alternative rings which are Fountain–Gould left orders in semiprime alternative rings coinciding with their socle, and those which are Fountain–Gould left orders in semiprime artinian alternative rings.
Gómez Lozano, Miguel, Siles Molina, Mercedes   +1 more
openaire   +1 more source

Simple Alternative Rings

The Annals of Mathematics, 1953
One of the ways of gaining an insight into the nature of a class of rings is to determine all the simple ones. In the case of associative rings some restriction, such as the existence of maximal or minimal right ideals is usually made in order to characterize the simple ones, for otherwise one encounters seemingly pathological examples.
openaire   +2 more sources

Alternative Synthesis of Imidazobenzisothiazole Ring.

ChemInform, 2004
AbstractFor Abstract see ChemInform Abstract in Full Text.
Zh. V. Shmyreva, L. F. Ponomareva, T. V. Zemtsova, V. V. Frolova, Yu. N. Titova   +4 more
openaire   +1 more source

The Radical of an Alternative Ring

The Annals of Mathematics, 1948
In this paper we shall show that N. Jacobson's definition of the radical of an (associative) ring [J1, B] applies to alternative rings [Z1, M], and we shall develop some of the elementary properties of this radical. The radical of an alternative ring was first discussed by M. Zorn [Z2] under certain finiteness assumptions. Dubisch and Perlis [D P] have
openaire   +2 more sources

Vaginal Ring an HT Alternative

The Nurse Practitioner, 2004
On May 31 2002 the Womens Health Initiative (WHI) announced that the combined estrogen and progestin arm of the study was halted because the numbers of breast cancers blood clots and cardiac events exceeded the preset limits. In February 2004 the estrogen-only arm of the study was stopped as well thus ending the intervention phase of the study.
Mary M, Cothran, Sandra, Engberg
openaire   +2 more sources

On a Generalization of Alternative Rings

Canadian Journal of Mathematics, 1970
Bruck and Kleinfeld [3] proved that any alternative ring with characteristic prime to 2 must satisfy the identitywhere the associator (x,y,z) is defined by (x, y, z) = (xy)z – x(yz) and . Linearization of the identity (x2, y, z) = 2x · (x, y, z) yields for characteristic prime to 2 an equivalent identity(1)Using the right alternative law (x, y, z ...
openaire   +1 more source

Bidirectional ring: An alternative to the hierarchy of unidirectional rings

1995
A hierarchy of unidirectional rings has been used successfully in distributed shared-memory multiprocessors. The fixed cluster size of the hierarchy prevents full exploitation of communication locality. The bidirectional ring is presented as an alternative to the hierarchy.
Muhammad Jaseemuddin, Zvonko G. Vranesic
openaire   +1 more source

The radical and representations of alternative rings

Algebra and Logic, 1972
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

An Extension of the Class of Alternative Rings

Canadian Journal of Mathematics, 1965
Define R to be a ring of characteristic not 2 or 3 satisfying the identity(1)       (x,y,z) = (y,z,x)for all x, y, z ∊ R, where by characteristic not p is meant x —> px is a one-toone mapping of R upon R. The associator (a, b, c) of R is defined by (a, b, c) = ab·c — a·bc.
openaire   +2 more sources

On Rings with Completely Alternative Commutators

American Journal of Mathematics, 1971
Preliminaries. A ring satisfying (x, y, x) = 0 is called flexible. Trivially in flexible rings i) is satisfied and ii) reduces to (x, [y, z], w) = ([y, z], w, x). It is clear that i) and ii) hold in commutative rings. A ring satisfying (x, y, y) 0 and (y, y, x) 0 is called alternative.
openaire   +2 more sources