Catarina Santa-Clara, Alberto Facchini, Kent R. Fuller,'s Algebras, Rings and Their Representations: Proceedings of PDF

By Catarina Santa-Clara, Alberto Facchini, Kent R. Fuller, Claus Michael Ringel

ISBN-10: 9812565981

ISBN-13: 9789812565983

Surveying the main influential advancements within the box, this complaints stories the most recent examine on algebras and their representations, commutative and non-commutative earrings, modules, conformal algebras, and torsion theories. the quantity collects stimulating discussions from world-renowned names together with Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith.

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Extra info for Algebras, Rings and Their Representations: Proceedings of the International Conference Lisbon

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Some structure theory for a class of triple systems, Trans. Amer. Math. Soc. 1 (1985), 203-212. 17. Hurwitz, A. Uber die Komposition der quadratischen Formen von beliebig vielen Variabeln, Nachr. Ges. Wiss. Gottingen (1898), 309-316. 18. Lister, W. G. A structure theory of Lie triple systems, Trans. Amer. Math. Soc. 72 (1952), 217-242. 19. , Quadratic forms permitting triple composition, Trans. Amer. Math. Soc. 275 (1983), 107-130. 20. Ramirez, M. I. On four dimensional absolute-valued algebras, Proceedings of the International Conference on Jordan Structures, Univ.

Wright, F. B. Absolute valued algebras, Proc. Nat. Acad. Sci. A. 39 (1953), 330-332. DIVISIBLE MODULES W I T H R E S P E C T TO A TORSION THEORY* IULIU CRIVEI Department of Mathematics, Technical University, Str. C. ro SEPTIMIU CRIVEI Faculty of Mathematics and Computer Science, "Babe§-Bolyai" University, Str. M. ro For a hereditary torsion theory r , a module is called r-divisible if it is injective with respect to every monomorphism having a T-torsionfree cokernel. Alongside of some properties of the class of r-divisible modules, we are interested in self-T-divisible modules, that generalize r-complemented modules.

I N H E R I T A N C E OF P R I M E N E S S B Y IDEALS I N LIE TRIPLE SYSTEMS A. J. C A L D E R O N M A R T I N A N D M. es E-mail: ForeroManuelQhotmail. com We show that semiprime ideals in a Lie triple system inherit primeness. As a tool, we also study the transfer of regularity conditions between a Lie triple system T and its standard algebra envelope L, stating that T is prime (resp. semiprime, with zero annihilator) if and only if L is gr-prime (resp. gr-semiprime, with zero annihilator). 1.

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Algebras, Rings and Their Representations: Proceedings of the International Conference Lisbon by Catarina Santa-Clara, Alberto Facchini, Kent R. Fuller, Claus Michael Ringel


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