Non-modular congruence lattices of Rees matrix semigroups
نویسندگان
چکیده
منابع مشابه
Function spaces of Rees matrix semigroups
We characterize function spaces of Rees matrixsemigroups. Then we study these spaces by using the topologicaltensor product technique.
متن کاملAutomatic Rees Matrix Semigroups
We consider the preservation of the properties of automaticity and prefix-automaticity in Rees matrix semigroups over semigroupoids and small categories. Some of our results are new or improve upon existing results in the single-object case of Rees matrix semigroups over semigroups.
متن کاملFinite derivation type for Rees matrix semigroups
This paper introduces the topological finiteness condition finite derivation type (FDT) on the class of semigroups. This notion is naturally extended from the monoid case. With this new concept we are able to prove that if a Rees matrix semigroupM[S; I, J ;P ] has FDT then the semigroup S also has FDT. Given a monoid S and a finitely presented Rees matrix semigroup M[S; I, J ;P ] we prove that ...
متن کاملThe Loop Problem for Rees Matrix Semigroups
We study the relationship between the loop problem of a semigroup, and that of a Rees matrix construction (with or without zero) over the semigroup. This allows us to characterize exactly those completely zero-simple semigroups for which the loop problem is context-free. We also establish some results concerning loop problems for subsemigroups and Rees quotients.
متن کاملfunction spaces of rees matrix semigroups
we characterize function spaces of rees matrixsemigroups. then we study these spaces by using the topologicaltensor product technique.
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: Czechoslovak Mathematical Journal
سال: 1985
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1985.102033