Some Characterizations for Approximate Biflatness of Semigroup Algebras
نویسندگان
چکیده
In this paper, we study an approximate biflatness of l 1 S , where id="M2"> is a Clifford semigroup. Indeed, show that semigroup algebra id="M3"> approximately biflat if and only every maximal subgroup id="M4"> amenable, id="M5"> E locally finite, id="M6"> has identity in id="M7"> c 00 . Moreover, prove id="M8"> each id="M9"> amenable for inverse id="M10"> such id="M11"> the set its idempotent elements, totally ordered finite.
منابع مشابه
Biflatness of certain semigroup algebras
In the present paper, we consider biflatness of certain classes of semigroupalgebras. Indeed, we give a necessary condition for a band semigroup algebra to bebiflat and show that this condition is not sufficient. Also, for a certain class of inversesemigroups S, we show that the biflatness of ell^{1}(S)^{primeprime} is equivalent to the biprojectivity of ell^{1}(S).
متن کاملbiflatness of certain semigroup algebras
in the present paper, we consider biflatness of certain classes of semigroupalgebras. indeed, we give a necessary condition for a band semigroup algebra to bebiflat and show that this condition is not sufficient. also, for a certain class of inversesemigroups s, we show that the biflatness of ell^{1}(s)^{primeprime} is equivalent to the biprojectivity of ell^{1}(s).
متن کاملCHARACTERIZATIONS OF EXTREMELY AMENABLE FUNCTION ALGEBRAS ON A SEMIGROUP
Let S be a semigroup. In certain cases we give some characterizations of extreme amenability of S and we show that in these cases extreme left amenability and extreme right amenability of S are equivalent. Also when S is a compact topological semigroup, we characterize extremely left amenable subalgebras of C(S), where C(S) is the space of all continuous bounded real valued functions on S
متن کاملAPPROXIMATE IDENTITY IN CLOSED CODIMENSION ONE IDEALS OF SEMIGROUP ALGEBRAS
Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the semigroup algebra $M_a(S)$ of a locally compact topological foundationsemigroup with identity.
متن کاملSOME CHARACTERIZATIONS OF HYPER MV -ALGEBRAS
In this paper we characterize hyper MV -algebras in which 0 or1 are scalar elements . We prove that any nite hyper MV -algebra that 0is a scaler element in it, is an MV -algebra. Finally we characterize hyperMV -algebras of order 2 and order 3.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2023
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2023/9961772