In abstract algebra, Morita equivalence is a relationship defined between rings that preserves many ring-theoretic properties. More precisely two rings...

being transitive, are Morita invariant. On the other hand, being étale is not Morita invariant. In addition, a Morita equivalence between G 1 ⇉ G 0 {\displaystyle...

differentiable manifolds which admits an atlas, or as a Lie groupoid up to Morita equivalence. Differentiable stacks are particularly useful to handle spaces with...

Brauer group of a field K is an abelian group whose elements are Morita equivalence classes of central simple algebras over K, with addition given by...

1006/jabr.1998.7657. Yekutieli, Amnon (1999). "Dualizing complexes, Morita equivalence and the derived Picard group of a ring". Journal of the London Mathematical...

Nakayama's lemma. This has an interesting consequence in terms of Morita equivalence. Namely, if P is a finitely generated projective R module, then P...

"Sesquilinear Morita Equivalence and Orthogonal Sum of Algebras with Antiautomorphism", Comm. Algebra 41, no. 12, 4463–4490. 2007 (with S.A.G. De Wannemacker)...

with A. C. Russo: Caramello, Olivia; Anna Carla Russo (2015). "The Morita-equivalence between MV-algebras and abelian l-groups with strong unit". Journal...

also made important contributions to quantum mechanics. His mass–energy equivalence formula E = mc2, which arises from special relativity, has been called...

Toën, Bertrand (2007), "The homotopy theory of dg-categories and derived Morita theory", Inventiones Mathematicae, 167 (3): 615–667, arXiv:math/0408337...

is Morita equivalent to R {\displaystyle R} . The R {\displaystyle R} -algebra A o p ⊗ R A {\displaystyle A^{\mathrm {op} }\otimes _{R}A} is Morita equivalent...

Classical and Quantum Field Theory, World Scientific, ISBN 981-02-2013-8. Morita, Shigeyuki (2001), Geometry of Differential Forms, AMS, ISBN 0-8218-1045-6...

KK-theory, and provide the right framework to extend the notion of Morita equivalence to C*-algebras. They can be viewed as the generalization of vector...

the same time, he published his first paper, a one-page article called Equivalence of left and right almost periodicity (sent on 23 April), featured in...

Hausdorff topological space X {\displaystyle X} is defined as the Morita equivalence class of an orbifold groupoid G ⇉ M {\displaystyle G\rightrightarrows...

K(C1) ⊕ K(C2) is a homotopy equivalence. In fact, K-theory is a universal functor satisfying this additivity property and Morita invariance. Consider the...

Several Variables, Volume 2, CRC Press, p. 73, ISBN 9780534133092. Shigeyuki Morita; Teruko Nagase; Katsumi Nomizu (2001). Geometry of Differential Forms. American...

with entries in formal variables. monoid A monoid ring. Morita Two rings are said to be Morita equivalent if the category of modules over the one is equivalent...

below) is of this form. A ring R and the matrix ring Mn(R) over it are Morita equivalent: the category of right modules of R is equivalent to the category...

the exterior algebra of differential forms at the college calculus level. Morita, Shigeyuki (2001), Geometry of Differential Forms, AMS, ISBN 0-8218-1045-6...

1146/annurev.genet.31.1.493. PMC 3941233. PMID 9442905. Kobayashi H, Yamada K, Morita S, Hiura H, Fukuda A, Kagami M, et al. (May 2009). "Identification of the...

which are extensions of the original field), while a matrix algebra is Morita equivalent to its base field and hence has trivial cohomology. If the order...

homeomorphic to an open set in Euclidean n-dimensional space. Shigeyuki Morita; Teruko Nagase; Katsumi Nomizu (2001). Geometry of Differential Forms. American...

Clifford algebras. Notably, the Morita equivalence class of a Clifford algebra (its representation theory: the equivalence class of the category of modules...

dell'Accademia dei Lincei [it]. In this article, he examined the Principle of Equivalence, and introduced the so-called "Fermi coordinates". He proved that on...

Dublagem em canais de TV paga provoca polêmica (in Portuguese) O Globo, 20 November 2011. Retrieved 17 August 2012. "Ley Federal de Cinematografía" [Federal...

1006/aama.2001.0759. MR 1867931. Conant, James; Vogtmann, Karen (2004), "Morita classes in the homology of automorphism groups of free groups" (PDF), Geometry...

dimension. Morita (1995) describes another type of simulation that does not obey Hertling's assumptions and does not change the dimension. Morita's method...