SAMENESS BETWEEN BASED UNIVERSAL ALGEBRAS
نویسندگان
چکیده
منابع مشابه
Sameness between based universal algebras
The abstract representation-free Algebra of the past century is unable to formalize algebra sameness. A counterexample shows a universal transformation that cannot be representation-free. Then, to define transformations between based universal algebras we must introduce the representations corresponding to the bases, contrary to what was possible in general vector spaces and believed possible i...
متن کاملFuzzy universal algebras on $L$-sets
This paper attempts to generalize universal algebras on classical sets to $L$-sets when $L$ is a GL-quantale. Some basic notions of fuzzy universal algebra on an $L$-set are introduced, such as subalgebra, quotient algebra, homomorphism, congruence, and direct product etc. The properties of them are studied. $L$-valued power algebra is also introduced and it is shown there is an onto homomorphi...
متن کاملUniversal Quasivarieties of Algebras
Two different notions of universal, one due to Hedrlín and Pultr in the 1960s and the other due to Sapir in the 1980s, are discussed, as well as the relationship between them. Some of the historical perspective and mathematical motivation lying behind them is also included, together with a brief overview of a variety meriting further investigation in this context.
متن کاملAssessing the Relation between Theory of Multiple Algebras and Universal Algebras
In this study, we examine multiple algebras and algebraic structures derived from them and by stating a theory on multiple algebras; we will show that the theory of multiple algebras is a natural extension of the theory of universal algebras. Also, we will treat equivalence relations on multiple algebras, for which the quotient constructed modulo them is a universal algebra and will study the b...
متن کاملWeak Products of Universal Algebras
Weak direct products of arbitrary universal algebras are introduced. The usual notion for groups and rings is a special case. Some universal algebraic properties are proved and applications to cylindric and polyadic algebras are considered.
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: Demonstratio Mathematica
سال: 2009
ISSN: 2391-4661
DOI: 10.1515/dema-2009-0102