Zobrazeno 1 - 10
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pro vyhledávání: '"B. J. Gardner"'
Autor:
E. P. Cojuhari, B. J. Gardner
Publikováno v:
Communications in Algebra. 50:4791-4804
Autor:
B. J. Gardner
Publikováno v:
Communications in Algebra. 45:493-501
Autor:
B. J. Gardner, A. V. Kelarev
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 127:773-780
We describe all pairs of semigroups S and radicals ρ, such that ρ is invariant in S-graded rings. This generalises several known results due to Amitsur and Sands.
Autor:
B. J. Gardner
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 25:5-15
We present an approach to the exponential function, and power functions in general, based on rational power functions and rational approximation of real numbers. For positive a?l we define a function Ea by setting Ea (x) = lim axn for any rational se
Autor:
B. J. Gardner
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 24:781-789
We examine in detail some aspects of the algebra of functions (with respect to pointwise addition and multiplication) as encountered in an elementary calculus course. The set of functions whose domains have finite complements furnishes an example of
Publikováno v:
AIP Conference Proceedings.
Autor:
B. J. Gardner
Publikováno v:
Quaestiones Mathematicae. 15:27-37
Motivated by some results and concepts from radical theory for abelian groups, we investigate the radical classes R of associative rings for which there is an infinite cardinal number α such that for every ring A and every a e R(A) we have a e R(B)
Akademický článek
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Autor:
B. J. Gardner
Publikováno v:
Journal of the Australian Mathematical Society. 27:257-273
Bijective correspondences are established between the radical classes R (in a variety W of rings) with the property that a ring A is in R exactly when its finitely generated subrings are all in R, and certain filters of ideals in a free W-ring. It fo
Autor:
P. N. Stewart, B. J. Gardner
Publikováno v:
Canadian Mathematical Bulletin. 31:487-494
Let V be a variety of rings and let A ∊ V. The ring A is injective in V if every trianglewith C ∊ V, m a monomorphism and f a homomorphism has a commutative completion as indicated. A ring which is injective in some variety (equivalently, injecti