Higgs CAT

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Cat$^1$-polygroups and pullback cat$^1$-polygroups

In this paper‎, ‎we give the notions of crossed polymodule and cat$^1$-polygroup‎ ‎as a generalization of Loday's definition‎. ‎Then‎, ‎we define the pullback cat$^1$-polygroup and we obtain some results in this respect‎. ‎Specially‎, ‎we prove that by a pullback cat$^1$-polygroup we can obtain a cat$^1$-group‎.

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cat$^1$-polygroups and pullback cat$^1$-polygroups

in this paper‎, ‎we give the notions of crossed polymodule and cat$^1$-polygroup‎ ‎as a generalization of loday's definition‎. ‎then‎, ‎we define the pullback cat$^1$-polygroup and we obtain some results in this respect‎. ‎specially‎, ‎we prove that by a pullback cat$^1$-polygroup we can obtain a cat$^1$-group‎.

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ژورنال

عنوان ژورنال: The European Physical Journal C

سال: 2014

ISSN: 1434-6044,1434-6052

DOI: 10.1140/epjc/s10052-014-2866-7