A description of n-ary semigroups polynomial-derived from integral domains

We provide a complete classification of the n-ary semigroup structures defined by polynomial functions over infinite commutative integral domains with identity, thus generalizing G{\l}azek and Gleichgewicht's classification of the corresponding ternary semigroups

Subtraction Menger algebras

Abstract characterizations of Menger algebras of partial $n$-place functions defined on a set $A$ and closed under the set-theoretic difference functions treatment as subsets of the Cartesian product $A^{n+1}$ are given

The relation of semiadjacency of ∩\cap-semigroups of transformations

We consider two relations on a $\cap$-semigroup of partial functions of a given set: the inclusion of domains and the semiadjacencity (i.e., the inclusion of the image of the first function into the domain of the second), which characterized with an abstract point of view using the elementary system of axioms, i.e., system conditions, recorded in the language narrow predicate calculus with equality

Menger algebras of nn-place opening operations

Algebraic properties of $n$-place opening operations on a fixed set are described. Conditions under which a Menger algebra of rank $n$ can be represented by $n$-place opening operations are found

Radical theory in BCH-algebras

The notion of k-nil radical in BCH-algebras is defined, and related properties are investigated

HIPing Conditions for Processing of Metal Matrix Composites Using the Continuous Theory for Sintering - I Theoretical Analysis.

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