Primal ideal
In mathematics, an element a of a commutative ring A is called (relatively) prime to an ideal Q if whenever ab is an element of Q then b is also an element of Q.
A proper ideal Q of a commutative ring A is said to be primal if the elements that are not prime to it form an ideal.

This is an excerpt from the article Primal ideal from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
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Primal ideal - Wikipedia, the free encyclopedia
In mathematics, an element a of a commutative ring A is called (relatively) prime to an ideal Q if whenever ab is an element of Q then b is also an element of Q.
en.wikipedia.org/wiki/Primal_ideal
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Commutative ideal theory without finiteness ... - Purdue University
metical, (ii) every Primal ideal of R is irreducible, (iii) each proper ideal of. R is an ... rings for which the canonical primal decomposition of each proper ideal is an ...
www.math.purdue.edu/~heinzer/preprints/primal79.pdf
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ON PRIMAL IDEALS 1
Evidently, g is a Primal ideal and p is adjoint to g if and only if a6£g and ... Primal ideals which are not primary; moreover a Primal ideal may be quasi-primary ...
www.ams.org/journals/proc/1950-001-01/S0002-9939-1950-0032584-8/S0002-9939-1950-0032584-8.pdf
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On primal ideals over semigroups 1. Introduction - Quasigroups And ...
Fuchs in [1] introduced the concept of a Primal ideal, where a proper ideal I of S is said to be primal if the elements of S which are not prime to. I form an ideal ...
www.quasigroups.eu/contents/download/2006/14_12.pdf
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Almost Primal Ideals in Commutative Rings
Aug 4, 2009 ... Keywords: almost prime ideal, Primal ideal, weakly Primal ideal, weakly prime ideal. ... primal); this ideal is always a prime ideal, called ...
it.science.cmu.ac.th/ejournal/dl.php?journal_id=512
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QUESTION: (HD 1104) In HD1103 you have used two terms: primal ...
ideal and primal element. Are they related? Can I say that the principal ideal generated by a primal element is a Primal ideal? (I recall that some authors call ...
www.lohar.com/mithelpdesk/hd1104.pdf
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How do primary, quasi primary and primal ideals relate?
that y ∈ I, for all x, y ∈ R. Next an ideal I of a ring R is called primal if the elements ... Example A gives a Primal ideal such that its radical is prime i.e. a primal ...
www.lohar.com/mithelpdesk/hd1201.pdf
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Near Rings and Near Fields: Proceedings of the Conference on ... - Google Books Result
books.google.com/books?id=7DdJaZcJ0bIC&pg=PA66&lpg=PA66&dq=Primal+ideal&source=bl&ots=eKPpnsgk84&sig=IOeLjhhqtu6CAr0NfI2Yr41h0xI&hl=en&sa=X&ei=6AG1Ud3WLYmsOu6egdAI&ved=0CC4Q6AEwBw
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The Minimal Primal Ideal Space - Project Euclid
In this paper, the device of the minimal Primal ideal space of a C*-algebra is ... Zorn's lemma shows that each Primal ideal contains a minimal Primal ideal.
projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.mmj/1029004833
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Primal ideal in science
[PDF]Primal Leadership
The key to making primal leadership work to everyone's advantage lies ... Reality and the Ideal. Vision .... McKee, who is a member of the faculty of the University ...
[PDF]PRIMAL MODULES JOHN DAUNS Department of Mathematics ...
Tulane University ... An ideal B a R is said to be not right prime to h' < M if B C P, the adjoint of K. In the ... commutative case, a primary ideal is primal ([Fl]). In [C] ...
Commutative ideal theory without finiteness conditions: Primal ideals
is arithmetical, (ii) every Primal ideal of $R$ ... Irving Kaplansky, Commutative rings, Revised edition, The University of Chicago Press, Chicago, Ill.-London, 1974 ...
Primal Pictures - University of Vermont
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About the Course - eduudle - the Greatest University in the World
May 1, 2013 ... Week V: Class 7: Inspiring Changethrough Hope and Vision – Discovery #1 in ICT. Module 7.1: The battle between the Ideal Self and Ought ...
ZERO DIVISOR GRAPHS OF LATTICES AND PRIMAL IDEALS ...
Department of Mathematics, University of Pune, Pune-411007, India ... Keywords: Zero divisor graph; ideal; prime ideal; semiprime ideal; Primal ideal; weakly ...
Gordon Towne - The Official Website - USA Cycling
Race Results for Gordon Towne Racing Age 24 from Allston, ...
The University of New Mexico College of Fine Arts - ArtFacts Faculty ...
... Theatre & Dance, and Cinematic Arts, The University of New Mexico College of ... in many ways to bring back the Primal ideal that there is nothing like now.” ...
Books on the term Primal ideal
Near Rings and Near Fields: Proceedings of the Conference on ...
Near Rings and Near Fields: Proceedings of the Conference on ...
Yuen Fang, 1995
Let I be an ideal of R such that IR C I. Then I is completely semiprime if and only ifp2(I) = I. Proof. The implication that p2(/) = / implies I is completely semiprime, is immediate. So take I to be completely semiprime. Then I is 2-primal. Invoke ...
Primal Leadership: Realizing the Power of Emotional Intelligence
Primal Leadership: Realizing the Power of Emotional Intelligence
Daniel P. Goleman, Richard E. Boyatzis, Annie MacKee, 2002
Looks at the role of emotional intelligence in leadership, discussing the characteristics of a good leader and leadership styles, and outlines the steps to becoming an effective leader.
Near Rings and Near Fields: Proceedings of the Conference on ...
Near Rings and Near Fields: Proceedings of the Conference on ...
Yuen Fong, 1995
Department of Mathematics, University of Southwestern Louisiana Lafayette, Louisiana 70504, U.S.A. ABSTRACT An ideal I of a near-ring R is 2-primal if the prime radical of R/ 1 equals the set of nilpotent elements of R/I. We show that if IR C / ...
Local multipliers of C [hoch Asterisk] - algebras
Local multipliers of C [hoch Asterisk] - algebras
Pere Ara, Martin Mathieu, 2003
D Primal idealS. In Section 3.5 we shall need the notion of a Primal ideal of a ring. Definition 1.1.5. An ideal P of a ring /? is said to be a Primal ideal in the case P ^ R and, whenever n € N and /1 , . . . , /n are ideals of R such that /1 .../n = 0 ...
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Primal ideal
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