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On covers of acts over monoids with condition (PF '') and envelopes of S-acts

期刊: SEMIGROUP FORUM, 2021; 102 (3)

In 2001, Enochs' celebrated flat cover conjecture was finally proven, and the proofs have since generated a great deal of interest among researchers. ......

New representations of algebraic domains and algebraic L-domains via closure systems

期刊: SEMIGROUP FORUM, 2021; 103 (2)

Closure systems (spaces) play an important role in characterizing certain ordered structures. In this paper, FinSet-bounded algebraic closure spaces a......

From A to B to Z

期刊: SEMIGROUP FORUM, 2021; 103 (1)

The variety generated by the Brandt semigroup B-2 can be defined within the variety generated by the semigroup A(2) by the single identity x(2) y(2) a......

Boundedness of partial difference transforms for heat semigroups generated by discrete Laplacian

期刊: SEMIGROUP FORUM, 2021; 103 (2)

We analyze the convergence of the following type of series T-N f(n) = Sigma(N2)(j=N1) v(j)(e(aj+1 Delta d) f(n) - e(aj Delta d) f(n)), n is an element......

A construction of the free digroup

期刊: SEMIGROUP FORUM, ; ()

We give a construction of the free digroup on a set X and describe the halo and the group parts of it. We prove that the free digroup on X is isomorph......

On sensitive sets and regionally proximal sets of group actions

期刊: SEMIGROUP FORUM, ; ()

We introduce the concepts of S-sets and Q-sets for a flow (a group action on a compact metric space) and prove that a transitive flow is sensitive if ......

Uniform stability of a family of resolvent operators in Hilbert spaces

期刊: SEMIGROUP FORUM, ; ()

In this paper, two main results on the uniform stability of a resolvent family {R-h (t)}(t >= 0), depending on a parameter It are presented. First,......

Semigroup method for a deteriorating system with multiple vacations of a repairman

期刊: SEMIGROUP FORUM, 2021; 102 (2)

By using the method of functional analysis, especially C-0-semigroup theory and spectral theory of linear operators we prove the well-posedness and th......

Semiring varieties related to multiplicative Green's relations on a semiring

期刊: SEMIGROUP FORUM, 2020; 101 (3)

In this paper, by means of congruence openings of multiplicative Green's relations on a semiring we define and study several varieties of semirings, o......

On the spectra of commutative semigroups

期刊: SEMIGROUP FORUM, 2020; 101 (2)

This study aims to investigate the Zariski topology on the prime ideals of a commutative semigroupS, denoted bySpec(S). First, we show that a topologi......

Relationships among quasivarieties induced by the min networks on inverse semigroups

期刊: SEMIGROUP FORUM, 2020; 101 (3)

A congruence on an inverse semigroupSis determined uniquely by its kernel and trace. Denoting by rho(k) and rho(t) the least congruence onShaving the ......

The F-transitivity and recurrence of translation semigroups on complex sectors

期刊: SEMIGROUP FORUM, 2020; 101 (3)

In this paper, we study the F-transitive behaviour of the translation semigroups on complex sectors, where F is a Furstenberg family of the semigroup.......

Approximation of semilinear fractional Cauchy problem: II

期刊: SEMIGROUP FORUM, 2020; 101 (3)

We consider the semidiscrete approximation of the Cauchy problem (D(t)(alpha)u)(t)=Au(t)+f(t,u(t)), t is an element of (0,T], u(0) = u(0) ,0 < alph......

Sensitivity, Devaney's chaos and Li-Yorke epsilon-chaos

期刊: SEMIGROUP FORUM, 2020; 100 (3)

We consider the sensitivity from a topological point of view. We show that a continuous, topologically transitive and non-minimal action of a monoid S......

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