Results 1 to 10 of about 25,535 (191)
Directed zero-divisor graph and skew power series rings [PDF]
Transactions on Combinatorics, 2018 Let $R$ be an associative ring with identity and $Z^{\ast}(R)$ be its set of non-zero zero-divisors. Zero-divisor graphs of rings are well represented in the literature of commutative and non-commutative rings. The directed zero-divisor graph of $R$
Ebrahim Hashemi +2 more
doaj +1 more source
Power-Associativity of Antiflexible Rings [PDF]
Proceedings of the American Mathematical Society, 1975 Conditions which force an antiflexible ring of characteristic p p to be power-associative are determined.
Celik, Hasan A., Outcalt, David L.
openaire +2 more sources
A commutativity theorem for power-associative rings [PDF]
Bulletin of the Australian Mathematical Society, 1970 Let R be a power-associative ring with identity and let I be an ideal of R such that R/I is a finite field and x ≡ y (mod I) implies x2 = y2 or both x and y commute with all elements of I. It is proven that R must then be commutative. Examples are given to show that R need not be commutative if various parts of the hypothesis are dropped or if “x2 = y2”
Outcalt, D. L., Yaqub, Adil
openaire +2 more sources
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.
openaire +2 more sources
, 2010 In this paper we study the notion of Smarandache loops. We obtain some interesting results about them. The notion of Smarandache semigroups homomorphism is studied as well in this paper.
Vasantha Kandasamy, W. B.
core +1 more source
An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]
, 2011 The inner automorphisms of a group G can be characterized within the category of groups without reference to group elements: they are precisely those automorphisms of G that can be extended, in a functorial manner, to all groups H given with ...
Bergman, George M.
core +4 more sources
Finite power-associative division rings [PDF]
Proceedings of the American Mathematical Society, 1966 The author proves the well-known theorem: ``A finite strictly power-associative division ring of characteristic \(\neq 2\) is a field'' without using the classification of central simple Jordan algebras, as in Albert's proof [cf. \textit{R. D. Schafer}, An introduction to nonassociative algebras. New York etc.: Academic Press (1966; Zbl 0145.25601), p.
openaire +1 more source
, 2008 Many things in mathematics seem lamost unreasonably nice. This includes objects, counterexamples, proofs. In this preprint I discuss many examples of this phenomenon with emphasis on the ring of polynomials in a countably infinite number of variables in ...
Hazewinkel, Michiel
core +2 more sources
Simple Rings and Degree Maps [PDF]
, 2013 For an extension A/B of neither necessarily associative nor necessarily unital rings, we investigate the connection between simplicity of A with a property that we call A-simplicity of B.
Nystedt, Patrik, Öinert, Johan
core +1 more source
On a class of power-associative periodic rings [PDF]
Bulletin of the Australian Mathematical Society, 1971 A power-associative ringAis called ap-ring provided there exists a primepso that for everyxinA,xp=xandpx= 0. It is shown that ifAis such a ring withp≠ 2, thenAis isomorphic to a subdirect sum of copies of GF(p), the Galois field withpelements.
openaire +1 more source