Results 51 to 60 of about 136,939,768 (82)

Nakayama algebras of small homological dimension and pattern avoiding permutations

open access: yes
We give a combinatorial classification of Nakayama algebras of small homological dimension using the Krattenthaler bijection between Dyck paths and 132-avoiding permutations.Comment: 14 pages, 13 ...
Klász, Viktória   +2 more
core  

J.J.: Homological integral of Hopf algebras

open access: yes, 2008
. The left and right homological integrals are introduced for a large class of infinite dimensional Hopf algebras. Using the homological integrals we prove a version of Maschke’s theorem for infinite dimensional Hopf algebras.
Q. -s. Wu, D. -m. Lu, J. J. Zhang
core  

Homology of ...-algebras and Cyclic Homology

open access: yes, 2007
this paper is to lay the ground such that an extension of this theorem to the category of A1 -algebras becomes possible (theorem 3.1). The category of L1 - (respectively, A1 -) algebras extend the category of differential graded (DG) Lie (respectively ...
Let T, Masoud Khalkhali, A Algebras
core  

Tensor homological minimal algebras, global dimension of the tensor product of algebras and of generalized Weyl algebras

open access: yes, 2007
Let d be the left homological dimension or weak dimension. In the present paper we give for a large class of algebras the answer to the question: ffl when the dimension of the tensor product of algebras is the sum of dimensions of the multiples, d( 1 ...
Vladimir Bavula
core  

On The Solvable Length of Associative Algebras, Matrix Groups, and Lie Algebras

open access: yes, 2004
Let A be an algebraic system with product a*b between elements a and b in A. It is of interest to compare the solvable length t with other invariants, for instance size, order, or dimension of A.
Wood, Lisa M
core  

Periodic dimensions and some homological properties of eventually periodic algebras

open access: yes
For an eventually periodic module, we have the degree and the period of its first periodic syzygy. This paper studies the former under the name \lq\lq periodic dimension\rq\rq.
Usui, Satoshi
core   +1 more source

A new construction in homological algebra. [PDF]

open access: yesProc Natl Acad Sci U S A, 1994
Buchbaum DA, Rota GC.
europepmc   +1 more source

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