Results 271 to 280 of about 1,605,092 (298)

Finiteness Conditions for Near-Rings

Canadian Mathematical Bulletin, 1992
AbstractThere have been a number of papers which give necessary conditions for a ring to be finite, and a few, most notably H. E. Bell [1], which do the same for near-rings. We wish to make a contribution to this latter theme. Most of Bell's results concern distributive near-rings.
Heatherly, H. E., Meldrum, J. D. P.
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Rings with A Finitely Generated Total Quotient Ring

Canadian Mathematical Bulletin, 1974
Let R be a commutative ring with non-zero identity and let K be the total quotient ring of R. We call R a G-ring if K is finitely generated as a ring over R. This generalizes Kaplansky′s definition of G-domain [5].Let Z(R) be the set of zero divisors in R.
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Covering Numbers of Finite Rings

The American Mathematical Monthly, 2015
AbstractA noncyclic finite group is always equal to a union of its proper subgroups, and the minimum number of subgroups necessary to achieve this union is called the covering number of the group. Here, we investigate the analogous ideas for finite rings.
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Projections of finite nonnilpotent rings

Algebra i logika, 2017
Associative rings R and R′ are said to be lattice-isomorphic if their subring lattices L(R) and L(R′) are isomorphic. An isomorphism of the lattice L(R) onto the lattice L(R′) is called a projection (or lattice isomorphism) of the ring R onto the ring R′. A ring R′ is called the projective image of a ring R.
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FINITE PRINCIPAL IDEAL RINGS

Mathematics of the USSR-Sbornik, 1973
Every such ring is a direct sum of matrix rings over finite completely primary principal ideal rings. These latter rings are called Galois-Eisenstein-Ore rings or GEO-rings. A number of defining properties for GEO-rings are given, from which it follows that a finite ring with identity in which every two-sided ideal is left principal is a principal ...
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On finiteness, commutativity, and periodicity in rings

Mathematical Journal of Okayama University, 1993
The authors give new proofs for two finiteness theorems for rings. The proof of the first theorem initially proved by \textit{M. S. Putcha} and \textit{A. Yaqub} [Int. J. Math. Math. Sci. 2, 121-126 (1979; Zbl 0413.16007)] is simpler, of the second initially proved by \textit{T. Szele} [Publ. Math.
Bell, Howard E., Klein, Abraham A.
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Enumerating Finite Rings

Journal of the London Mathematical Society, 1970
Kruse, R. L., Price, D. T.
openaire   +1 more source

On commuting probability of finite rings

Indagationes Mathematicae, 2017
Rajat Kanti Nath, Jutirekha Dutta
exaly  

Finite rings with exactly two maximal subrings

Russian Mathematics, 2011
S S Korobkov
exaly  

On Weakly Locally Finite Division Rings

Acta Mathematica Vietnamica, 2018
Bui Xuan Hai, Trinh Thanh Deo, Mai Hoang Bien   +2 more
exaly