Equational definability of addition in certain rings

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The equational definability of truth predicates

By a ‘logic’ we mean here a substitution-invariant consequence relation on formulas over an algebraic signature. Propositional logics are obvious examples, but even first order logic can be re-formulated in this way. The notion of an ‘algebraizable’ logic was made precise in the 1980s, mainly by Blok and Pigozzi, who provided intrinsic characterizations of the logics that are indeed algebraizab...

متن کامل

Definability for Equational Theories of Commutative Groupoids †

We find several large classes of equations with the property that every automorphism of the lattice of equational theories of commutative groupoids fixes any equational theory generated by such equations, and every equational theory generated by finitely many such equations is a definable element of the lattice. We conjecture that the lattice has no non-identical automorphisms.

متن کامل

Definability in the lattice of equational theories of semigroups

We study first-order definability in the lattice L of equational theories of semigroups. A large collection of individual theories and some interesting sets of theories are definable in L . As examples, if T is either the equational theory of a finite semigroup or a finitely axiomatizable locally finite theory, then the set {T, T } is definable, where T ∂ is the dual theory obtained by invertin...

متن کامل

Definability in the Lattice of Equational Theories of Commutative Semigroups

In this paper we study first-order definability in the lattice of equational theories of commutative semigroups. In a series of papers, J. Ježek, solving problems posed by A. Tarski and R. McKenzie, has proved, in particular, that each equational theory is first-order definable in the lattice of equational theories of a given type, up to automorphism, and that such lattices have no automorphism...

متن کامل

Bounds and Definability in Polynomial Rings

We study questions around the existence of bounds and the dependence on parameters for linear-algebraic problems in polynomial rings over rings of an arithmetic flavor. In particular, we show that the module of syzygies of polynomials f1, . . . , fn ∈ R[X1, . . . , XN ] with coefficients in a Prüfer domain R can be generated by elements whose degrees are bounded by a number only depending on N ...

متن کامل

ذخیره 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: Pacific Journal of Mathematics

سال: 1978

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.1978.74.407