The monoid of suspensions and loops modulo Bousfield equivalence

Jeff Strom

Displaying similar documents to “The monoid of suspensions and loops modulo Bousfield equivalence”

On the 2-type of an iterated loop space.

Hans-Joachim Baues, Daniel Conduché (1997)

Forum mathematicum

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Homotopy commutativity of finite loop spaces.

L. Saumell (1991)

Mathematische Zeitschrift

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Higher Forms of Homotopy Commutativity and Finite Loop Spaces.

C.A. McGibbon (1989)

Mathematische Zeitschrift

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Moufang loops arising from Zorn vector matrix algebras

Andrew Wells (2010)

Commentationes Mathematicae Universitatis Carolinae

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In “A class of simple Moufang loops”, Proc. Amer. Math. Soc. (1956), 471–482, Paige used the vector matrix construction over fields to produce simple Moufang loops. The purpose of this paper is to generalize the construction to the class of commutative rings, and examine the Moufang loops arising in this fashion. Specific attention is paid to the construction over the ring of integers modulo four.

Holomorph of generalized Bol loops II

Tèmítọ́pẹ́ Gbọ́láhàn Jaíyéiọlá, Bolaji Ajibola Popoola (2015)

Discussiones Mathematicae - General Algebra and Applications

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The notion of the holomorph of a generalized Bol loop (GBL) is characterized afresh. The holomorph of a right inverse property loop (RIPL) is shown to be a GBL if and only if the loop is a GBL and some bijections of the loop are right (middle) regular. The holomorph of a RIPL is shown to be a GBL if and only if the loop is a GBL and some elements of the loop are right (middle) nuclear. Necessary and sufficient conditions for the holomorph of a RIPL to be a Bol loop are deduced. Some...

On some classes of finite loops.

Acketa, Dragan M., Matić-Kekić, Snežana (1994)

Publications de l'Institut Mathématique. Nouvelle Série

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Classifying relative principal fibrations with loop space fibers

J. F. McClendon (1981)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Exact loop space sequences

F. Croom (1971)

Fundamenta Mathematicae

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Incomparability with respect to the triangular order

Emel Aşıcı, Funda Karaçal (2016)

Kybernetika

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In this paper, we define the set of incomparable elements with respect to the triangular order for any t-norm on a bounded lattice. By means of the triangular order, an equivalence relation on the class of t-norms on a bounded lattice is defined and this equivalence is deeply investigated. Finally, we discuss some properties of this equivalence.

Bol-loops of order $3 \cdot 2^{n}$

Daniel Wagner, Stefan Wopperer (2007)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this article we construct proper Bol-loops of order $3 \cdot 2^{n}$ using a generalisation of the semidirect product of groups defined by Birkenmeier and Xiao. Moreover we classify the obtained loops up to isomorphism.