Results 41 to 50 of about 5,631 (197)

Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]

, 2014
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
core  

Symmetric Units and Group Identities in Group Algebras [PDF]

, 2006
We describe those group algebras over fields of characteristic different from 2 whose units symmetric with respect to the classical involution, satisfy some group ...
Bódi, Viktor, Bovdi, Victor
core   +1 more source

On generalized quaternion algebras

International Journal of Mathematics and Mathematical Sciences, 1980
Let B be a commutative ring with 1, and G(={σ}) an automorphism group of B of order 2. The generalized quaternion ring extension B[j] over B is defined by S. Parimala and R.
George Szeto
doaj   +1 more source

A Note on the Trace of Generalized Permuting Tri-Derivations

Cumhuriyet Science Journal
Many researchers have studied permuting tri-derivation and generalized derivation in prime or semi-prime rings, BCK-algebras, lattices, d-algebras, MV-algebras and many algebraic structures. Later, they introduced the concept of generalized permuting tri-
Süleyman Zortaş, Hasret Yazarlı
doaj   +1 more source

On algebraic rings [PDF]

Bulletin of the Australian Mathematical Society, 1969
A ring R is π-regular (periodic) if for each element x of R there is n = n(x) SO that xn = xn.a.xn (xn = xn.1.xn) (a depending on x). Let R be an algebraic algebra over a commutative ring F With identity. In this paper we prove that if every π-regular image of the ring F is periodic, then R is periodic.
openaire   +1 more source

Smarandache Non-Associative (SNA-) rings [PDF]

, 2005
In this paper we introduce the concept of Smarandache non-associative rings, which we shortly denote as SNA-rings as derived from the general definition of a Smarandache Structure (i.e., a set A embedded with a week structure W such that a proper subset ...
Vasantha Kandasamy, W.B.
core   +1 more source

A note on orthogonal decomposition of 𝔰𝔩n over commutative rings

Open Mathematics
The orthogonal decomposition (OD) of special linear Lie algebras over the complex numbers was first explored in the early 1980s and has gained renewed interest in the past decade due to its applications in quantum information theory.
Sriwongsa Songpon
doaj   +1 more source

Invariant algebras and completely reducible representations [PDF]

, 1994
We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit ...
Kraft, Hanspeter, Small, Lance W.
core  

Exceptional Sequences over Graded Cohen-Macaulay Rings [PDF]

, 1999
The concept of exceptional sequences was developed by Gorodentsev and Rudakov in [3] and generalized by Bondal in [1].
Tokuji Araya, Araya, Tokuji
core   +1 more source

On the structure of one-generated Leibniz rings

Researches in Mathematics
The paper is devoted to the study of one-generated Leibniz rings. We begin with a short discussion of the relation between Lie rings, Lie algebras, Leibniz algebras, and Leibniz rings, and recall the basic notions needed in the sequel.
L.A. Kurdachenko, P.Ye. Minaiev, O.O. Pypka   +2 more
doaj   +1 more source