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Topic: Bimodule

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	Bimodule - Wikipedia, the free encyclopedia
		For example, the category of all R-S bimodules is abelian, and the standard isomorphism theorems are valid for bimodules.
		This tensor product of bimodules is associative (up to a unique canonical isomorphism), and one can hence construct a category whose objects are the rings and whose morphisms are the bimodules.
		Note that bimodules are not at all related to bialgebras.
	en.wikipedia.org /wiki/Bimodule (631 words)

	The Ring of Endomorphisms (Site not responding. Last check: 2007-10-13)
		Given two rings r and s, m is an rs bimodule if m is a left r module and a right s module, and (rm)s = r(ms).
		An example of a bimodule is any r module m, where s is the ring of r endomorphisms of m, written on the right.
		Conversely, a bimodule m is an r module, and if f is an element of s, it rearranges the elements of m; a function from m into itself.
	www.mathreference.com /mod,rend.html (517 words)

	[No title] (Site not responding. Last check: 2007-10-13)
		Those bimodules are obtained from the derivation based calculus of an algebra of matrix valued functions, and an $SL\sb q(2,\IC)$-covariant calculus of the quantum plane plane at a generic $q$ and the cubic root of unity.
		Consequences entailed by reducing to the centre of a bimodule the domain of those conditions are investigated in detail.
		Another structure on a bimodule $E$ that we wish to discuss is a pair of compatible left and right connections.
	www.ma.utexas.edu /mp_arc/papers/96-58 (3502 words)

	PlanetMath: bimodule
		This is version 4 of bimodule, born on 2001-11-23, modified 2005-07-12.
		Object id is 987, canonical name is Bimodule.
		(Associative rings and algebras :: Modules, bimodules and ideals :: Bimodules)
	planetmath.org /encyclopedia/SubBimodule.html (56 words)

	Bimodules
		We use the technique of bimodules analogous to the technique by Paul Muhly and Baruch Solel.
		Idea: An element of A may not be a function on G like in the r-discrete case -- but it has its support: the complement of its zero set.
		A bimodule has its support -- the ``closure'' of the union of the supports of all its elements.
	math.la.asu.edu /~ifulman/shortpaper/node4.html (230 words)

	[No title] (Site not responding. Last check: 2007-10-13)
		The basic example is the equivalence between A and M_{n}(A), the ring of n by n matrices.
		Here the bimodule P is the "column vector" A^{n}.
		The lecture is aimed at a general mathematical audience, and hence notions such as bimodule or derived category will be explained.
	www.math.technion.ac.il /~techm/oldmessages/2745 (390 words)

	CMB - On the Ranges of Bimodule Projections
		We develop a symbol calculus for normal bimodule maps over a masa that is the natural analogue of the Schur product theory.
		Using this calculus we are easily able to give a complete description of the ranges of contractive normal bimodule idempotents that avoids the theory of J*-algebras.
		We prove that if P is a normal bimodule idempotent and P
	journals.cms.math.ca /cgi-bin/vault/view/katavolos8395 (91 words)

	2-Spectral Theory, Part I \| The String Coffee Table
		If we work in terms of bimodule categories this are nothing but functors that act by (left) tensor-multiplication with a given bimodule.
		to emphasize that the dual of a bimodule
		is a direct sum of simple invertible bimodules by simply being equal to the identity bimodule.
	golem.ph.utexas.edu /string/archives/000821.html (1734 words)

	AMCA: Cotilting Modules and Bimodules by Kent R. Fuller (Site not responding. Last check: 2007-10-13)
		Any injective cogenerator is cotilting module, and any bimodule inducing a Morita duality is a cotilting bimodule.
		Also, employing the classification of tilting modules over hereditary noetherian serial rings in [3], we provide concrete examples of cotilting bimodules, constructed by applying self-duality to the tilting modules over linearly compact noetherian serial rings.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts.
	at.yorku.ca /c/a/b/w/48.htm (307 words)

	CiteULike: jlopez's bimodule (Site not responding. Last check: 2007-10-13)
		Recent papers added to jlopez's library classified by the tag bimodule.
		posted to bibtex-import bimodule connections differential first-order geometry non-commutative operator symbols by jlopez as
		algebras bibtex-import bimodule connections curvature differential first-order geometry non-commutative noncommutative operator physics relativity specialrelativity symbols tensor twisting
	www.citeulike.org /user/jlopez/tag/bimodule (50 words)

	[No title]
		Moreover, M and N are then projective as * right modules, and N is isomorphic to Hom S(M, S) as a bimodule*.
		Since the category of right Rop-modules is isomorphic to the cate* gory of left R-modules, we can view M as an Sop-Rop-bimodule and N as an Rop-Sop-bimodule, a *nd then they provide the equivalence of categories between Mod-Ropand Mod-Sop.
		The bimodules which induce the equivalences of module categories ca* n both be taken to be Rn, but viewed as `row vectors' (or 1 x n matrices) and `column vec *tors' (or n x 1 matrices) respectively.
	hopf.math.purdue.edu /Schwede/Morita.txt (4235 words)

	Tensor product of modules - Wikipedia, the free encyclopedia
		If M and N each have bimodule structures as above, then M⊗N is an (S,T)-bimodule.
		Note that every left-module is a bimodule with Z acting by mn = m + m +...
		If M and N are both bimodules, then P is also a bimodule, again in a unique way.
	en.wikipedia.org /wiki/Tensor_product_of_modules (1036 words)

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