Results 211 to 220 of about 19,682 (235)
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2020
Now we will compute the global, Krull, Goldie and Gelfand{Kirillov dimensions for bijective skew PBW extensions. All of these computations will be done also for the skew quantum polynomials.
William Fajardo +5 more
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Now we will compute the global, Krull, Goldie and Gelfand{Kirillov dimensions for bijective skew PBW extensions. All of these computations will be done also for the skew quantum polynomials.
William Fajardo +5 more
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2002
The general theory on various types of primeness for ideals of a nearring is close enough to the ring-theoretical one even if, as usual, each primeness type for rings generates various non equivalent primeness types for nearrings.
Celestina Cotti Ferrero +1 more
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The general theory on various types of primeness for ideals of a nearring is close enough to the ring-theoretical one even if, as usual, each primeness type for rings generates various non equivalent primeness types for nearrings.
Celestina Cotti Ferrero +1 more
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On minimal strongly prime ideals
Communications in Algebra, 2000In this paper we give some characterizations of a ring Rwhose unique maximal nil ideal N r (R) coincides with the set of all its nilpotent elements N(R) by using its minimal strongly prime ideals.
Chan Yong Hong, Tai Keun Kwak
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Minimal prime ideals and arithmetic comprehension
Journal of Symbolic Logic, 1991We assume that the reader is familiar with the program of “reverse mathematics” and the development of countable algebra in subsystems of second order arithmetic. The subsystems we are using in this paper are RCA0, WKL0 and ACA0. (The reader who wants to learn about them should study [1].) In [1] it was shown that the statement “Every countable ...
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Covering maximal ideals with minimal primes
Algebra universalis, 2015All rings in the paper under review are commutative rings with identity. A ring is a UMP-ring if every maximal ideal in the ring is the union of the minimal prime ideals it contains. Banerjee, Ghosh and Henriksen [\textit{B. Banerjee} et al., Algebra Univers. 62, No.
Dube, Themba, Ighedo, Oghenetega
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A Note on Minimal Prime Divisors of an Ideal
Algebra Colloquium, 2011We explore several equivalent conditions for finiteness of the set of minimal prime divisors of an ideal and conclude the results of Anderson, Gilmer and Heinzer as especial cases. It is proved that in the ring of polynomials K[X], in which K is a Noetherian ring and X a (possibly infinite) set of indeterminates over K, these conditions are necessary ...
Kamal Bahmanpour +2 more
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On minimal prime ideals of commutative Bezout rings
Ukrainian Mathematical Journal, 1999Summary: We study a spectrum of minimal prime ideals of the Bezout commutative rings. We apply the obtained results to the problem of diagonal reduction of matrices over the rings of this kind.
Zabavskij, B. V., Gatalevich, A. I.
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z-ideals, z°-ideals, and minimal prime ideals in Hurwitz series rings
Rendiconti Del Circolo Matematico Di Palermoexaly +2 more sources
Boolean orthogonalities and minimal prime ideals
Communications in Algebra, 1975(1975). Boolean orthogonalities and minimal prime ideals. Communications in Algebra: Vol. 3, No. 10, pp. 859-900.
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