Results 221 to 230 of about 1,179,667 (236)
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Noncommutative elementary divisor rings
Journal of Mathematical Sciences, 1999We study the maximally non-principal ideals of noncommutative Bezout rings. We describe new classes of noncommutative elementary divisor rings.
B. V. Zabavs'kii, A. I. Gatalevich
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Extremely noncommutative elements in rings
Monatshefte für Mathematik, 2007We study rings and K-algebras in which all elements or all noncentral elements have smallest possible centralizer. Our principal result asserts that a ring R must be either finite or commutative if each noncentral element a has centralizer equal to the subring generated by a.
Howard E. Bell, Abraham A. Klein
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Integral extensions of noncommutative rings
Israel Journal of Mathematics, 1991In this paper we study integral extensions of noncommutative rings. To begin, we prove that finite subnormalizing extensions are integral. This is done by proving a generalization of the Pare-Schelter result that a matrix ring is integral over the coefficient ring.
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1-absorbing prime ideals and weakly 1-absorbing prime ideals in noncommutative rings
São Paulo Journal of Mathematical Sciences, 2022N. Groenewald
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Modules over Noncommutative Rings
2006This chapter contains two sets of tools for working with modules over a ring R with identity. The first set concerns finiteness conditions on modules, and the second set concerns the Hom and tensor product functors.
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The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis
, 2008Martin Mathieu
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HIGH ORDER KÄHLER MODULES OF NONCOMMUTATIVE RING EXTENSIONS
, 2001Hiroaki Komatsu
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The Module of Differentials of a Noncommutative Ring Extension
, 2001Hiroaki Komatsu
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, 1986