Results 221 to 230 of about 19,682 (235)
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Strongly prime alternative pairs with minimal inner ideals
Manuscripta Mathematica, 1996It is proved that any strongly prime alternative pair with a nonzero socle is either associative or a simple nonassociative alternative pair of a finite capacity. Using the results of \textit{O. Loos} on the structure of simple alternative pairs of finite capacity [Jordan pairs, Lecture Notes Math.
Castellón Serrano, Alberto +3 more
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Elements of Minimal Prime Ideals in General Rings
2010Let R be any ring; a ∈ R is called a weak zero-divisor if there are r, s ∈ R with ras = 0 and rs = 0. It is shown that, in any ring R, the elements of a minimal prime ideal are weak zero-divisors. Examples show that a minimal prime ideal may have elements which are neither left nor right zero-divisors.
W. D. Burgess, A. Lashgari, A. Mojiri
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Maximal and minimal prime ideals in a near ring
Journal of Discrete Mathematical Sciences & CryptographyThis work introduces the important result related to a concepts for maximal prime and minimal prime ideals in a non-commutative near ring. We determined the relations among these notions with other kinds for the ideals. Also, we proved several propositions concerning pseudo-weakly completely prime ideals and prime ideals.
Muna Sh. G. Shnain, Ameer A. J. Al-Swidi
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Minimal Prime Ideals in Commutative Semigroups
Proceedings of the London Mathematical Society, 1963openaire +2 more sources
Unions of minimal prime ideals in rings of continuous functions on compact spaces
Algebra Universalis, 2010Melvin Henriksen
exaly
Divisibility Theory of Arithmetical Rings with One Minimal Prime Ideal
Communications in Algebra, 2016Pham Anh
exaly