Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Constantin Nastasescu"'
Publikováno v:
MATHEMATICA SCANDINAVICA. 126:32-40
If $H$ is a finite-dimensional Hopf algebra acting on a finite-dimensional algebra $A$, we investigate the transfer of the Frobenius and symmetric properties through the algebra extensions $A^H\subset A\subset A\mathbin{\#} H$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9e244c162bce37de29a01bf966e8636
https://doi.org/10.7146/math.scand.a-115970
https://doi.org/10.7146/math.scand.a-115970
Publikováno v:
Journal of Algebra. 491:207-218
We study graded symmetric algebras, which are the symmetric monoids in the monoidal category of vector spaces graded by a group. We show that a finite dimensional graded semisimple algebra is graded symmetric. The center of a symmetric algebra is not
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d219f1c0ad8e683a1076e4208120090b
https://doi.org/10.1016/j.jalgebra.2017.08.009
https://doi.org/10.1016/j.jalgebra.2017.08.009
Publikováno v:
abelian groups, module theory, and topology
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f41d71246cb49b622691253620f738c
https://doi.org/10.1201/9780429187605-14
https://doi.org/10.1201/9780429187605-14
Publikováno v:
Journal of Algebra. 465:62-80
We investigate Frobenius algebras and symmetric algebras in the monoidal category of right comodules over a Hopf algebra H; for the symmetric property H is assumed to be cosovereign. If H is finite dimensional and A is an H-comodule algebra, we uncov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02dc3dd23b1b9204aa7f187b6572c189
https://doi.org/10.1016/j.jalgebra.2016.07.012
https://doi.org/10.1016/j.jalgebra.2016.07.012
Publikováno v:
Communications in Algebra. 44:3340-3348
Let k be a field. We consider gradings on a polynomial algebra k[X1,…, Xn] by an arbitrary abelian group G, such that the indeterminates are homogeneous elements of nontrivial degree. We classify the isomorphism types of such gradings, and we count
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70d1c73682c6c65d7232a323619c0c17
https://doi.org/10.1080/00927872.2015.1057829
https://doi.org/10.1080/00927872.2015.1057829
Publikováno v:
Journal of Algebra. 406:226-250
We consider Frobenius algebras in the monoidal category of right comodules over a Hopf algebra H. If H is a group Hopf algebra, we study a more general Frobenius type property, uncover the structure of graded Frobenius algebras, and investigate grade
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2060209e8ff84ed3405ef96d2485e2da
https://doi.org/10.1016/j.jalgebra.2014.02.020
https://doi.org/10.1016/j.jalgebra.2014.02.020
Publikováno v:
Pacific Journal of Mathematics. 262:49-79
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::778007be46f98f7776b663fbed4bda16
https://doi.org/10.2140/pjm.2013.262.49
https://doi.org/10.2140/pjm.2013.262.49
Publikováno v:
Journal of Pure and Applied Algebra. 216(10):2126-2129
We prove a generalization of the Mitchell Lemma, and we show that it is a key lemma that can be used in order to deduce in a unified easier way several important results. Thus, the Ulmer Theorem, the generalized Gabriel–Popescu Theorem and the gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fbd118e266dc223e201ee454ce4fc69
Publikováno v:
Arabian Journal for Science and Engineering. 36:957-962
We study relative regular objects with respect to a generator in a Grothendieck category which is not necessarily locally finitely generated. Using the Gabriel–Popescu Theorem, we extend results known for regular modules.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48f83441859def2d7d67f6feeec700e0
https://doi.org/10.1007/s13369-011-0098-9
https://doi.org/10.1007/s13369-011-0098-9
Publikováno v:
Applied Categorical Structures. 21:105-118
We introduce for any Grothendieck category the notion of stable localizing subcategory, as a localizing subcategory that can be written as an intersection of localizing subcategories defined by indecomposable injectives. A Grothendieck category in wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce692ba24c1b54e0f0229cfdb0f5497f
https://doi.org/10.1007/s10485-011-9257-0
https://doi.org/10.1007/s10485-011-9257-0